APF mark 55 User manual

'nd .. 10 K_,tIo_rd Function_
Below is alayout 01 Ihe Malk 55 keyboard Afler each
lunction are the page numbll" giving a delinitlOn (fl'st
number) and basiceKample (second numberl ollhat func-
tion
Df'S 8,8 HI'P II. II IW 1 11 10& 15, 15 clr
SlIfT 1 I llCl 22, n S10 22. 22 l~ 15 I~ CU
,
•
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Section II
Ge".,,1 Operlltlng Instruettons
Fvndl~ell. 7
Getting St.,,, . • , 1
Keys lind S""IC...... •................•.. 1
Oispllly Form". and Number Ent')' .8
RenlH Poll.t1 NOllIHon end 1M Op",nd St,de 9
Single
V,nlbll Functions . .. 10
Two V,",ble Function. 10
e,sie FUnC1I01\' OIflnld 10
Slxk Mllllpulauon _....... .. 11
Cl ing _. • 11
How 10 UN RPN 10 E""u.le Mat!lematiCilI Equllions 12
St/illl ,"d M1Ked Caleo.o~tions 14
CorTlI'CI,ng Inpul Errol! . .. 14
Single V.-t'b1e F\lnetlolll .. 15
logarilh". linD EltponenUl1. .• .. 15
It', It. till. Itl 15
TngOflomelrlt Cak:ulllions..... •16
RaQiafllOlOr .. Convlltlo", •.•. , .....••••••.. 18
Hypertlolic FuncTIons .. 18
Two V,r1,b~ Functlonl . ," 19
Powllli lin(] ROlli. .. , 19
Pert«llage Calcuillions , , 19
Polar/Rectangul.r Convert;lon, ..... . ....•... 21
Memo,_ O"ereUGne ....• _ 22
Storage/Recall ,•. .. . 22
Unrntrltle<! erld Restrletlld SIOr"91 .. 22
Clearl"" Memories ..22
Perlormln" Arllhmellc wilt> Memori&$ .23
SI,ll'tleel FUrlCtlOIll .. , 24
SLlmm,Uo" ,nd M .. n , , .. 24
Vananee and Slindard Devillion ,24
Error Recovery _. , , ..•.. 2S
Duel 8ummetlon ,....... .25
Veeto. Addition. . .. ,........ • 25
Mll'lrlc end U.S. Conw"'Ion'....... . .. , ..26
0" """ U","' .27
Overllow~nclernow . .. " 21
Error Condillon'... .. .. , ..... 21
SKtlon I
Intraductlon. • •.•.•.•.••••••..
Poltab~ 1S_n.ry or A.C. OS"_retlon
Cere oj Yow Celeul'tor .
j
'<.16
10.13
I~ IS
19. 19
16.2'
II}, 13
: n.1l
, 11. II
II1-g<ll zr., 26
10, lJ "'" II 21
~ 2. •1
Z. Z~ 1(1
.' 15. IS t-f 26 26
~I l' 10,13
6% : 2tI. 20 tm-In
1:\111
16. 11 .,
f6.11 !.~
l~. 16 ~CI g. 8 'a-·lb
1lJ [NT·9 11
1
"
"
l .,
•
,
1'.1' I.
16,11 TNt
1
1
, 7 .I
,
8
~ ..
CO,
1
,
21 21
16 11
1
1
1
-,.
'"
•
lASH 14.1~ "
,,
j

SKtfon III
Pr8ctiC81 Ex8mpla.
Malllemadcs .,......... ..... . •.• 28
Buslna .. and FInance . . . 30
Sladilln .. _.... • 3t
COmbln.tlons , 31
Parmu,,"onl .32
Plob.blllty . .. 32
E'ac:trlcal E"9lnllr1ng .. 33
MlcllanlCIII Englne,rlng .. 3S
N,vlgaUon .... ....... ..... . . 38
Atomic and Nucl ••• Ph~lle •........................... , .. 37
Quantum Physlca .. ....•... . 37
Section IV
Useful EQuatlon.
Trlgonomelry ..
Geometry
Logerlthms
Complu Numb.,.
Su,lna nd Flnenee .
51.dsU", , .
Appendlus
A. Phr-Jul Cof'IIt.a,U.
8. P~lh'l for PO.lr of TIR
C. COR .... rllon FU;llIfl
,
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_ .•. 39
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..... , "0
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. ••••• 41
.,
.,
••
Section I
Introduction
You, API' Mark 55 Ad ... anced ScianUfle Cilleulltor ulmlllS recent
d",lIIopn':ln!$ in $t'mieonduetor Inte<,lraled CirCUitry. 10 provide
you
Wllh I.l powerful eompUlalionallM:rumertl. caplble ofsolving a
w,d. "tllrtlly 01 probllms. The Mark 55 Is aporIable calculator
elpable of operillng from antler IMIl conlalned recnargaable
tNIl1ery pack, or Irom 11'1 A.C OOllplor
Your ealeuillor U5flS Ihl mOle elllcl'nl mlllhllO 01 RIlV8rs8 Polish
Notillon [RPN). With RPN you nave alour (..) reglstlr operand
stack. Mel to this lealure nlnll (9) slorllll' mlltflorills amI you can
WQrk the most complicated mathemallcal equaTions .... lln lull con'
lid6nCil O' aceuracy_ Enul.s or resull, cal'l be.s small uO.l x,O ..
or., Ilrlll as 999999999999>< 10". and elln bedlsplayt!d in Illher ..
I...elve (12) digit noallng decimal
mode or asckmlilic notallan
mode with .. lin pOl digit mantis$.:l aM two 12l digll 1X0001'l1nl.
The follOw,", is a lISl 01 tome of lhe lealu,,,, 01 your calculator;
• BuIC Iodd, 5ubllilCI. Multiply. DIYldl
•
Cln' Inlfy. Clear Ove.llOW Clear display, CIe.r r~:stars
•Tllg fund,ons--ealculaie In radians or degrR'S
• In, log. I". 10"
•Powe15 yO. Roo\$; ~'Y : functions olx •'i", lIX, x". xl
• ~-perl)Q~c lUnetlons
•Vector <tddltion.subtr;K.tJon
•Patl;am';les; adOorvdlSCllYlll.'y1eld16pe'C8IItag':gross profit
margon
•Statlshca! !: •. .£:~. 8"'1!<BglI5 51andil.d dew"'1005
9 Slor~e memo"es
• :r; t012 dlgl'laccuracy
• ./. $lgn chllnge
•Pol.riRect.lflgul.r con ....fslons
•Flad,..
~Deg,ee convenilQl1
•Mel,!c1lJ 5. unit conversions
Althougll ll'ltl MiU1, S5 ... as C1eslgn.d primarily lor sci.mists al'ld
Iflgln'a", Its prlee pUIS It well wllhin the felCh of sludents al'd
sctlOOls, and 11.5 powe< makes It Invaluabla for any commarcl.lor
Ind~slrl.1 manager.
PleaH review Iha InslrUCllons In thl, manual Wo,k lh,au;h thl!
eumples lItustfolea. ilnd wlthltl" very 5110rl tune, you will becomfl
prollclenl
In using your new n":ulalll',
CONVENIENT. "APIO. ACCURATE. YOU WILL FIND MANY USES
fOR YOUR ELECTRONIC CALCULATOR.
,

Portable Benery or A.C. Operallon
aatlery Operallon
VOtIf t1andMold pclrt&bIeelectronIC calculalor 1$ made wilh • ~
roehargeable NI<AD DlIt1ery pack Undet normll Opelal!ng eondi-
lions ~~ can expeC1 at\Oul 5·7 hOurs 01 ealtl.llallon lime for e fl.lll~
charged baltery.
Ttle NI-cAD l)allery pacIc iii tully Charged and les1ed al lhe t;t(:lory
be'ore Shipping ~_. GUt! 10 shelf IillI Giacflarglng. _,....
Comtnl!!nd IIlaI )"llu chltfge Ihe tHll1"',," lor 24 hou~ prior 10 use
When 1M tlallery lIalrnosIGiachlfg8ll. tl'NI dISplay ""II appurGtm
and atlculallOn5 ... ,11 becomeetlaTic. To pr~llmproper calcula-
tions th. tHlnery Should DIt rKharg8ll as soon Upclsslble.
NOTE: As iI gflllll~1 rule. illmpropar oceralio" occurs. first I,., u ..
calculalor w,th Ih ltClaptorlchar~. connected. If operatlon Is then
normal. lhlS INllClltflS INT the ban.-. are low.
Bitt.,., Ch •• glng
Connecl tI'Ie ad~Tor:chargl' (Typa 415) Inlo a conven .. "1 sautee
01110-12(1 WlltsA..C Tum 1111I calculltO' powe"",il::hotf and push
The lIdapTor/Cl'lilrge. plug II.mly InlO l!"le .. a' sockel of ml cal-
culator Cr1lIck lhat lhe plug is Inser111d all the way. Alull charge will
laka apP'Ol(lrnalely Uhouf$ and .. best done oYemlght. For the
"'st haurot ChargIng. Ihe o",'off swHch muSI be In the ott position.
NOTE: Ope .. I,"g Ih. talculalor du.,ng ch.,glng .... 111 Increase the
lIme laquJled to. aNIl charge
","C.Ope.atlon
ConneCllhecharger'adapTorlTvpe '*15) 10 a sourco ot 11G-120volt
A.C. Turn Ihe po .... ., switCh TO the 011 posITion and push the
chargttrladaplo. plug 'irmly InTo the rear sockot ollht! calculalor.
Then simply
lurn Ihe power switCh on.
NOTE: When disconnecting lhe charger(adaptar. Tum lhe power
SWllCh ollafld IIlwlIYll (liS4;ar"inect lhe pl"g Iram the calculator Ilrst.
Cllre 01 Your Celculator
For beSl Cilfe of your calculalar. the follOW ng polnl5 should be
nalec:
• Neva< use arty Other A.C adaplor/reochilrgttr uceollM moeel
type 415 (!ncluded) Improper ,npul could do permaoentdllm898
TO your Ulcul,tot.
• As .... ith aU fine equioment, proTect your calculaTor fTom shock.
Also protllCl your mac:hlne from din. dllmpness 'nd abrasion.
YOllr calculator Is sUfIS)IIIfd ...ith a proteclMl c:arry;Ilg C-..
NeYer attempt 10 tak. YOUt calculator IpiIfLThIsshould 00 dono
only by Qu,llfled APr' 58",ICO perlOr'U'IeI.
• fOl" bllSll.rvlC8. Itle calcull101lhould ~ u.c1.fld 'echar!Jed al
tN51 monthly Turn tile po_ s .. ,lch art wt>en f'IOl in lISI.
Do not store you. cldculalor in an area .. ne,.. Itmptlfalute Yrilt
... c:eed 12QF SUCh lemperaturaS could be experienced in iii
clOSed iluromobile during summer
• If the calculaTor has been chilled al D.lo .... truzlng temperatures;.
aHo.-
1111I machine 10 ..... arm It· several hau"" belorfl operaTIng
•
N_r clean the celculator Yrith sotWlllIs, such as pamtthlnner.
Use onl~ awaTer dampenec soft cloth.
,

I
Section II
General Operating Instructions
Fundamental,
Gattln; Statt.ct
'(our JlPF Marlil 55ls ahlpped Wllh ~ bIItleues '" place, Refill to
p'ge .. ICIr "ttel)' and "-C ope-union
Kap and Swften..
The figure on p-oe 6IUUSltal1l6 ttloI ileytlollrd I.)'OUI.
PO' .... ER SWlTCH-SllCla thB ;xlWef swllth \0 lhe len 10 lurn the
ClIlcullltor on
SHIFT KEY_The kfJyboa«l eot\Io,sts of 30 keys_In order to gi¥1I yollt
Ponilllill CalculatormaxllT'um up'b,lity In• minimum si;re, 17 keys
IneorpOlala. SHIFT FUNCTION SYSTEM lim,lar:o II typewriter.
THE CALCULATOR AESPONOS TO THE FUNCTION IIo4PRINTEO
ON THE KEYS IN THE UNSHIFTEO l\.4ooE. AND THE FUNCTIONS
ABOVE THE KEYS IN THE SHIFTED MODE
To USI! the un5h,fled
fulleti(lnslmpfy louch lneselectoa key To uwtne5hlfted tunctlon.
firsl tOUch the In,f'! kly ISHIF'n. then the Itey with the de!';lfed
hmc:tiotl p'mlod above II
Also lh, •• lIrll 4 dual lunellon hr' tSHIFT/OPS. INVfSTO
HYPiRCl, (),\"ASTX). which de- nol requ,re touell,ng the shill key
pl'iof to u$lng .,ther lunClk:ln Which function l' performed, I,
de:ermlned by the nelCl key to\K:hed
ReIer
10 IIIe KEY INDEX (Inside Ironl cover). 101' lurther <tescriplion
on thew keys
NOTE In III eXlmples Ind pplanll;o", ,n IhlS bOOk. rnmshlltld
lunl;1,on,
Ire ,ndlcated by (FUNCTION]. and shilled lunctions are
lnd,catec cy [SHIFT] (H./lClJ.
DATA ENTRY KEYS
NUMERIC
KEYS..$'lntHl,d II) to 191 ~Il)'bo(trd is provided as \JI'~las
[Ol alWl decimal POlnl fI
1'/ }-Change ,i,;;n ~ey Changes ltlluilgn ollhedlsplay from + to
-or-IO",
[SHIFT] (")-EnlorsthevaluEl til theCOI'lSlElfll pi (,,) 10 12 ,Ignillcanl
dlgllS (3.1ot159265359)
lee]_ls the Iwo 'Ighl molt dlgl" 10 uro end propares the cal·
culltor 10 Bc~tlh' subSOQuenl number as an uponel'lt 0110.
IINV]--ll'lstructs tne c.lculltor 10 calculale lhe IrlVerse 1~llon 01
lhe nElxI ~!I'IlouchoX1.(I.El.IINVlllnl ruults In e.)
,

•
",0 I;? diglt8
oegatlVl "
round
10 1placllS
'lo,)lIng dlclm.lln manti"a
ro ... nd dowrl 10 2pl;lells
flllu.n to floating dllclm.1
moo ••
TopOl
S~,
Register
Conlents
N~
w•
Z,
,•
X•
rENT]-louChlrlg II\e enter key
cople. the COrllent. 01 lhe X reo
glSlftl InlO the Yregl5ter. AI$O
Ihe COrllents 01 Ihe Y all(,\ Z'e-
glsten; Otl!! moved up one place.
The cont.rlts 01 tho Wregister
lire dlKatded,
Revers. Polish Nolalion
And the Operlnd Steck
NOTE: The conlentli of
thl X regl'ler t-I Is always
displayed
When I number ill key«!
In. II goa Into the Xregnr-
~,
To per!otm calculations, lheMark 56 uses Re........ Polish Notation
(RPNj
also known ll$ LukasieWicz Notalion RPN '5 ttl. etficietlt
method Und bY compuler'S to evaluate malhem.tlclilltpresslons.
Wllh RPN, lh.a III one basic rull! to 101lOW; AI .... ays entBf the
ope. and tnl/mber) or operllll'\dS liml. then pIII10rm 1M op.r atlon.As
a
simple eUlnple. to add 2+3. 11.,1 enllf the 2 end 3, and lhen
perform
Ihe ( ... Iopel'etlon.
To .1I0w ent')' 01 ope.ands. lherllV'e ~ mamory regl$lera ar.anged
in II vertical Itllck. For Illtplonation p ... rp0905, Ihl reglSllr names
will be dll$igneled by upper caseX. Y,Z. and WTheir conlents (Ihe
number stored In them), will be raspecllvlly dealgnated by alower
cIISe x. y, l:, o"l! w.
,
Olsplar Fom'I8lt and Number Enlry
Enterlld nU"l\bal'$
or ~Its can be dlsplit)'ed In e,lher thoe IlOrMal
mode o. tl\e !ilCienllllC mode.
NORMAL MODE-This mode d,splays entnes or 'MuIIS in aslgnlld
12 d'9'llIo.lIng (\1!Cl'Tlal or II_ad deci"",,1 point mod •.
SCIENTIfiC MODE-This mooe di$p\oy6 er'lln" or r8Mllts wltn a
signlld
100lglt manU .. ( .... lIlIllllII<I or "ootir'lgdeclmal poinl)ofld 0
slgnfd:2 digit e .. poner'll NOTE Tile calculalo, llulom.,ICSlly goes
IIItO 111_ ael.nlillc /I"Io(\e Whfn •• e,ull Of entry e_ceads
999999999999
IOPS]-Oeclmlll plJinl SIl\_prIlpares the clllclllllltO' to sel lhe dis·
play lOllnOI <IS specified by tr.a nOllt key entry.
[OPS] (sCI}-Wili setll>adisplaV lormat to sclenl>llC nOlallon mOCle.
(decimal point In 1!'Ie marllissa is II0illing).
lOPS] [INVllacJ)-Wili Mllhe display lothe normall:2diglt Iloaling
QIIClml1 mod •.
[OPS} IN}-'Nl1l11l1Ihe rlumber of dlg,1S 10 lhe .ight 01 lhe oeclmal
polnllo Nplace1 NIs any rlUml/l'!e kBy lrom 0 through 9. You carl
SOl a tilt_ dec,mal poinl in either thll 1:2 digit no.mal modll di:tDlIIY,
or In Ihe 10 d'9it mlnllssa 01 iI scienll,c rnQ(\e dl$pl.y
Convening btrtvl'een varIOUS dJs9lay moo., does not dlK.lroy elata.
end the cak;u\aIQr always perlOfm$ ealculation:t Illlernally to 12
s,gnlllu,nl dlgll:t. When Ii fi.. ed pamt dl:tpl.ay modi! Is used 1M
calculator wIn round lhe dl$piay 10 the approprtat. number 01
declmlt places TI\.1 ".11.,011 are in tilled po,nl3IllO(\e.an IfllerMl
reJlllI oi 2.&t27\ \OIl!1 be display9ll as 2.ti13.
Ell8mgl.........emef the ItllUft of r>egal<ve pl(_J_ III Ik>allng poInl molle.
Set lhe decImal poIllI 10 1 places. C"""nglI to 1cle/llJlic mooe. Set
tI\fl mar'llin. \0:2 decimal Olaees and then eonV'l'f1 back 10 floaung
ctee,mll mOOI
NOTE WileI'! power is 11m lurned on, lhe C8l(:ulalor automatically
gaM 10 .... ed lH<lmal poml mode -.. places.
Ke,5equenee OIapll' Commenls
Power 'on' 0.00
(OPS) IINVl(sc'} 0
[SHIFT) (III 3 t~159265359
(./ I -3 HI 59265359
(OPS) (1) 31415927
lOPS] (fC;) 3 H1592653 00
IDPSll:2] -3.1~ 00
lOPS) [INY) (fcll J I~ 159285359

SladL ""nlpuletlorl -There arB lwo lunC-loons used to move the
contenls of III,,,~ '19iste'"
-,
.w
w---
,
[x- ·vl- Slrnultllneously $Wilcr>-
es the conl.nts 01 the X and Y
reglslers The W end Zreg'sters
remain the same
.. z
y,------+'
w. __.w
Sl....,1e Variable func:tlon ••
Fune:lIons suc:h 8$ x' are e:alled
,"'gla ~arilble /unciions since
Illlly onl) ,eou". a "ngle
opllrand In order 10 011 per-
forme<! Whe", single ~a"lIote
lune:tlol1 I. poerlorme<! [Ffxll.
only th,e:ontllnl. at theX rtlll''''-
Ill" ilrllllffec:l8(/
Two Va,I.Ole funCllona -
function. ,ucn as Ado are Clill·
leo 2' ~i!fiable 'UnClIOnS When <1
2 Ylrjlole lunction i' per-
lormeo. thll Jt and Yreg,sters
.ra ulll(\ .nCl the , •• ull IS
pla(1O In tile X reg,ster. tile
contentl at the W and Zregis-
llIrs _ down one pl.1.te.
wW
l ---- .. Z
y~,
LIll.r1 .. X
w
-----------
.w
IIl-Ro"te K,y - mo~es the
contents 01 each rlllJisl~ In lhe
-.
,
.11Cl( dOwn 01\1 po.ltlon and
-----
mo~8S lha eonle"'" 01 II", Xto
-----.
the w legi'ter
y,
-
•
-----------.
,
Clurlng
\CLXI- T OUCtoing this !ley w,U clear only the X,egoster (the dlsplayl.
It Is also uMci during ~lIrtloW WIll UI'IIl.rllow (see Pf,QIIl 21).
[SHIFTI (CIr)-TOl.lCl'lIng thIS /unction w.1I elt ... the X Y Z. and W
r~IsI'rs, NOTE Alll\ou.gh ft IS not necUHry. 001 might be com-
lorl"'9 louCh ISHIFTI (cl,! Prior 10 sUlrtJr'lg a....... elxul'lIon
COIIIm,n"
clear ~. y. z. W
10 goes into X
pust>es Inll stack up ,nil 20 into X.
pustollll the stacl( Ul) and 30 fnto X.
pushes lhe stack up Ilml 4Q mto X
clears
X. V, Z. and Wremolrlttoe &a1Tlft
,Olale st.cl(
ellla,s It., Y. Z. Ind w
OI.ay
o
"
20
"
"o
30.
o
o
1I •• 1c ! ... mpl,
Key Sllqullnc,
[SHIFTl (e/r)
"
fENT! 20
IENn 30
{ENn 40
[CUt]
III
ISH1F"T1 (clr)
III [11 Ul
NOTE To cl{t ... rall regiSl&rs InehJdlng the stoflg' memo'les. tum
11'111 c&lculato, power on lind oil
8
.. 1e: func:uonl O,"~
r~ ]-Adels the e:ontents 01 Jt and Yregistef'S. Platts !he r,sult in X
and pulls ll'le Slil(k down.{y IX}-X
1-]-Sul)lfllc:l' tM e:ontents ofXIrom the e:ontents ot YPloeM the
result
In X and pulls the slack down. (y-x}-X
[_!_Mulhplles the eonlllntl 01 Y and X reglsta" PI..::., lhe result
in It IP'Id pulls the stack down (~xx~X
I "j-oNPdes the e:onlents 01 Y by the eontents 01 X. Plac:es the
result in
II: Rnd pull, tile stack down. (~. x)-.X
10
"

NOTE "U lracllonli liflould I;)e m.nlBlly rewrillen "
lnum.! alor}-jdenomlnatorl
Key In and .nter
1",\ num!)tf
Key In ilnd entef
2nd ntlmbef
Ker in 2lind perlom 0 .... 1110'1.
Key in 3{aulor>ltlC enter of 0 51.
Enter 3
Ker In 4and peflorm d'vislOn.
Add 1<. MlC Yu'IllstSfs
Dlvlde
., ny " - .ns"""
hsmple ,: 10 calculate ~--c=-,::'~DO~'1'~Oc~;;;':;:- _
\50>l1QJj [0.2)<10")
OlspllY Commlnts
oClear reglst8tll
-100.-03 K.y numerllor and
-0.1 Enter
50000. Key In SOx 10' alld enter.
om Key In .2x10 •and mlltlipfy .
-10. OMele·.ns .....r
K.W SeqYBnCe
[SHIFT] (el,)
100( ~1-1 [EEI:![ ~1-1
lENn
SOIEEI31ENn
• 2[EEI6[-1-11Xl
I I
E",mple 2: 10 call:Ulale ~c'6", __
¥I+:l:o
Mll'Itlll., r@wrltethl'" 6~rtl 2) 1(3 ~411
Ke., Sequence OIaplay Comm,nt.
[SHIFT) (eI'J O.
, 6
lENT] S.
,,
lENT] I.
21 I 0.5
3 3
(ENTl 3
4\_1 0.75
It 1 1.25
I~I 4.8
eumpll 1: 10 calculate 6-2-3
Ke., Sequ ... uDispla., COl1'lmenlt
[SHIFT) (cll) O. Cle" all reoiSl~ in stack.
6 6 Ke., IfI III" ntll"lber • SHIP 2
lENT] 6. SIt;ls3andSareno·sogoloslep8.
2 2 Back al step 2.
I·) 6. Co 10 SliP 7.
Thon sliPs 3 ana Sari no.
Then St.p 61' omll1ed "nee lhe
dlliplay conlalfls •rKul1 of ,
[Functlon]_
3 3 Step 2
l-J 5. St.ps 3+7 .• n ...... r
•
•
~"ll'~ '" 19'1
SI"" 01 E<l\JIII,,,'
Ikp1
NOTE· O\l"O'IgSlep6. 'fOu DO'Ilyhavelo 10~ch IENTEflllftlle O'IUmber
was JUS! k-Ved 10'1. Wllenellt!r the dlgpilly CDO'Itll;ns the rBSiltl 01 a
FUO'IcUon, It r, '101 noCB&SllI)' to touch [ENTER] belore keying in II
nyrnb.r
H_To U .. APN
To f.-lu.t, lot.th.m.delll Equation.
10 entor and wlv. prob'-mt using RPN •• nd thl operationalSlack,
simply 10110 .... lhe ruin outlined In the flow chart below (Ao flow
dlart It al)lIth 01 sImple SIep5 10 lollow)
""

EI'II~ II,S! n..mbe, en(l
2nd ""'''be' al'ld ~rlorm ad(llilon
II Is no: naea",,")' 10 IENTER] 9
~Ince il Is e fesull 01 A ClIIc;ulaho'ln
Enro,8 aM .Ulw.et
Entel 9amI el1d
Enler 63, ,ublr,et, In •• ar
5l 10" 10" decimal places
OJ.pl.y Commants
O.DO Set dee ...... 2 places
-0.30 C.,cu·a:e log .s
C" '>0 Recall I .. , "gl.l"'enl and
3.15 Use to calcull.18 10'
2.86 AOd II ana 1 • an_e'
E..ll8mpla: to calculale log
K.y Saquanc.
lOPS] 2
5 ISH Fli flog/
RCl] lST Xl
,SHIFT.[INVj llog)
[.[
lOil"ltnm •• f!d E.lpon.ntl.11
111'11- CalCUlaln lhe log Dase e 01 tl'l8 dlspl~
ISHlfTj (log) ealeulal~ Ih. log, t;r.ase 10,01 Ih. (hIiOI,\y.
llNVI lin] -a •- ealeulalllS the nalural antHog •• alMS e 10 Ihepower
in lne display
[SHIFTlIINV)(iogj
10' -eale .. lateslhe comma" anlHog' rBlSes 10
It) trill oa ... e, In the dlS~lay
hllmpl.: Ie ealc",h\le 11'13.1"30 to 2 doclmal plac.
K.y Saquanca Display Commants
IOPSI 2 000 Sel occ;rnal 10 2pltlces
Jlin I 1 10 C..lcul.ne In J
30 Itnl 340 C8lculale In 3D
I-I " 50 Add. and y reg'''I' . ans.a'
Single Variable Funclions
Ilah.r • COIleul.t,~n oeeul'$ a "lew nU'T'b.r 11 k'Yt'd 11'1, an 'Ulom'I,C
IEHTER] Is first ~.rlo,rr~!l ~rn':ling Wile: ClI1eullll-ons
Eumpl,: to (;I1("lar, 6~3-8"'9~63
KIY S.quanea Oll~l.)' Comm.ntt
lSHlnl (e") 0
6!ENn 5.
3!, I 9
8H I,
9111 10
631-1 -53.
Eum~l.: to e.lcul.le
Hi6>'4)-4}"lll-{13-3H]_{(23_9_H) 13~ W
I(.y Saquanca OI.~I.)'
51ENTI 41Xl 24
41 ]20.
II lENT! 18'Em] Jl II ]5.
'·1 ~,
23 IENTj9[' t4{ 18
3!ENnl ~I1XI 1,5
I I 12-
lXI XlO.
Clear SlICk
Ellle, 12 to Yreg,sle.
CD~dngl"~ ~r~
1\ •n.. rrll.f IS ,nCO'~ lleyeC '1'1. ~mplp tOUCh lCLX} and lnen
ellll' tna CO<I1ICt nurrll.f
Eralllpl<l: 10 uleulale 12·7
X.y Sequ.nca DllflIay Com_nls
ISHIFT} (prj 0
121ENT] 12.
,,
MISTAKE MISTAKE'
ICLX] 0Clear only l(
7 7
lX] 84 enlwe<
(RCLj {LST X]- Besides the 4rell'ste. opel.1Id 'ltck. In"e Is an
addItional '1!9'1lte< U!lOld 10 slore lhe n .. mbo!' Ihal was In Ihe x
reglltel Whtl'l tha last lunellon "la, ~er1ormtCl To bring this
number DlIC~ 10 the xreglsle,. simply louch rhe sequence IRCll
llST X]. TIIII luncllon I, useful for rtpeatBClI~ ullng an operand In
se~e,,' c.all;:ulaIIOl'\S (ex as n conslllOAI)
Exampl.; ;0 calcu.ale e· . ...-l10 two e.cl .... 11 0 ICes
Kay Saqua~ Dlspla, Commem.
IOPSj 121 0.00 Set decinl.l to 2p!.tces
101-' r lENT] II [ U17 Caleul.te ( Hl.5J
[INV1lln] 0.19 answ.t
)I', \!X, 11X .,.d Xl
{SHIFTI (I r) • C.leula:es :nl re-e,procal 01 the oisoll.Y
[SHIF'Ti (\ x) . CllOlcula:11 IhI sou,,'e root of Ina dIS? 3','.
[SH1FTlIlNV] (\., ll" Calculates ,"e square 01 Ihe Clisptay
[SHlrTl (1!) -Ca1C\lla:n the feetorlal of the dl,pl"V {l"al I'll'll
p,oducl 01 (Xl (1(-11 fX-"I .. (H Tna maxImum nl/mo", wilose
factorial elln be calculaled Is 69. Ho ...... ~e., by ""Ing 0~ell10w In-
IefPfelatloll (see page 27)Ir.e l/1clotiltl oll'lumtlers up tr.l 120 can be
ealculallld,
..
"

Exampl.: 10 calculate t3t to floating CllK:lmal
(13 '1)'
'.6 in cagr .. s
...... ,
000
000
So.,
En"'pla: to calculate cos 12 .. -4.19) 10 2aeelmal plltOllS
K., s.q",.nc. Dlspl.,
[OPS] 20.00
[SHIFTjlr.d} 0.00.
2[ENntSHIF'T1 r,,} [X] 6.2!
419 l-I 2.09.
ICOS) -0.50 .n •••'
E .. ..,p.: to caJc:ulaltl $In 4:>- ,n f\(Wlllng decimal mod.
K~ S .... _ Dtap~,
10000SIIINV) (!el) 0
ISHIFTj [IN'll (TId} O.
421SfN] !l691JOe(l6358 .n ....
Exampl.; 10 calculatll ".16-lao-' 1 III fMf,llnlllO 2 atelm.1 pillces
Ka)' Saquanc. Ol.pla)'
(OPSI
2[SHIFTI (,adj 0.00
[SHIFT] r", [ENT) 6[-J 0.52.
, IINVIITAN] 019
[+1 131 anlwar
E.ampla: 10 c.lcul.\e I.n .75,..' sIn $tO" 10 2dlll:lmal pl,OIls
K., SMt\MftCa Ol.pla)'
!OPS!2 0.00
'SHIFTl (flld) 0.00
.15 lENT] [SHIfT} (Ir) {X! 2_36
{TANI -100
(SHIFT][INV)'.-dj 1.00
5.0 (SINII'I -0.50 .n • ..,
INVERSE SINE, INVERSE COSINE. AND INVERSE TANGENT
[IHYjISINI-sin-' -cak:utalllS the ~alue ot the angle I;" fillCloans 0'
c"lilf"s.). wl'105' SIfl. i$ di59la,-d.
lIHYlICOS] -cos·, - talculaas Ihllvaluaol.haangle 1m 'adiansor
d"Of"S). whOSe cosine 'S ci5pleyed
[INVj ITAHI-lan-' -calculates the walue ollfla lIl'Igl. (in rMfians or
dagr .. s). wl10Sa IlTIOIlnlls diSJ)lay«l
Ea,,,,,..: 10 calculalll COlI
K~ Saq"._
IOPSI2
ISHIFTIIINVI (IlIdJ
.6 (INV) [COSj
Comm.nl.
Sel f10ahng decImal
'"
Recall 13
Perlorm suclraC't1Ofl
SOl decimal to 4 places
Calculale v'2a
Calcula" \!35
Add xar"lll y
Calculate 'eclproc.1
,,2 •• n .... er
O"pl.)'
o
6221020800
>3.
2.
31135.0400
Eump~: to cllcvlate (1 )2 to 4d8l;Imal places
v'fa ... V36
DI.pl.y Comm.ntt
0.0000
5.2915
'.0000
11.2915
M8116
00078
Enm,..: to ealculale '1/170-38 10:2 cecl!mll pl.es
K.y S.qU.l'lU DI,p1.y Camm'l'll'
[OPSI :2 0.00 Sel cec,mal 10:2 places
170 (ENT)38(-j 132.00
[SHIFTIfIiJ 1149 .n._
K.)' s.qu.nc.
IOPSJlINV) (tel)
13 [SHIFTj {KI,
IRClllLST XI
11[-]
ISHIFTj (KIJ' I
Trlllllnom.ttk ~~tIon
T"- Mil"' 55 WIll calculate lng or ""'111M trig ~nctions.ln CStogrees
or radlaM.
ISHIFTl (.-d) • c.\lMS the calculalor 10 Inlerpt'el the dispteyed
anglo (ler
In_ lul'>CllOnS to calculal\! an angle) ... being 1fl
radians Aoeclmal point...lIl!Je Ii. in the rlghl most digit 10 Indkale
nKt,_ moee. The calcula!Of will remaon on thIS mode unlll power
"on" 0' unlll the d"lilraes r.lOde Is selecte<l.
[SHIFTl [1NVjtraa) - CIlUH$ the caJculelor to int.e,p,ellhe displ.yed
aog(e, (lor In_ lunchons 10 calcula .. an angla)• .u beIng in
d89'"5-
SINE. COSINE. ANO TANGENT
ISIN]- Oetermlot's the "sine' ot lhe dlspleyed aoglll in ,Qdillns or
dft{lf'e811
(COSI- Oelerm!ou the "eollne" of the displayed angltln radians
Of de\l'oos.
[TANI- [)etafmlnlls t!'lfl "Iangent'·or the d!splayed angle In radians
Of degf"S.
IOPS[ [41
:<8 (SHIFT) (fi)
361SlilFT] (fi)
,. ,
ISHIFT1(IIIl)
jSHIFTJ IINV] (fi)
""

1.0
."
'"
-"
,.
••
" ..
r __ "'. __ ... _ .. _ .... ~ ..
.,_ _- ._..,..",... ..
.- - ,..., .. "'"
I\'" po, .. Y\ _- -. " -"
'''--''-'
rr·l·.... "'_".· .- .... _"''''''~ .. ' _I ...
......... .". ." ".,ox ~~ .. _ p'" > ..
"M" "" c.,,,-... ,..." ~ ""'~ "'? ...
... y ~~ .. t< »>1' ....
i"MI' '1- :'¥ .,.., ... ""',..,,,,y ..-._ ..
ft ,_ ~ "' .. ""' _" " _
....- ou- ~ ,_, .•• ,y ""
--
l_ .. " .. u_U"_·_-". __
..... _- -..,
ID"$ """"_ D
U),H'l U
.... Y'l ,. ...... -." _
l_ ,~ ..... _,.·"'_.r_ ...... ,_ ..
. ...... - _...-
~1I :~
lIlIl"llT ....
_~"'.' 1_
If'l _1'0 _
.- .-
Co I' I .. ~ ....... llIO .. U ....... _n
.",a.._. _ ..
........... CH:.,._"
'f __ 1,"".1->.",.."" , .. 31>_.''''''' ,_
I~r" .... l;o<r. .. , ..... "...,." .", ' _10.
• ...... L ~,_._ "",. ,.". ...:I.'oc ••
...._~ ••• ¥'_A~d ... _ , .... ,_ •
•
•
••
", ••• w ..
••
••
~:lO I,
••
." 1)
•
I_'·_·""""-ltl
,~,
, .. ··',....,"""1
_o..,_~ .. _
~rj t-.". _"". _ ._.," ••• _._ ....._
--. .. "" .....
;stonl".~'_OlIl ... _ .........
._ .... ..-.to.r .. """'_
"QT[ W.rMt ~ __ IO ..... r ...... " __
, ........ ,,, _- .-. .. ,-
.. _, .. -.. -
.. ,1- _.,
r-;o"-111~' 3,1'
J-Jo' 1""11"-11 ".'lIlI _
1 .. _, __ ,n .. , .... · .... _ .... u<.
_ 11 ~"
",J'~I ~
,:.I~ ._, _, ~ _ ...
"-,-
-_ ... _<-)-= .......... -~ ..
_ .... _.-.
I-"l!5l<l OJ __ "". ', ..... __ ~
'-
I"""IU'§l e.- _ """'_""' .... 0"'''' __
~"'01 ~ .. _".~_.
.- ,,~--
...... __ IS"'! ....... """ .,.,. ....
'-''-
"'l9I(wv':OOlIl'c.._ ... -.._~ __ wi
'''--
~""I"""IT""I <:0" .. _ .... _" ............... _ ...
.... - --
1_' " ....... XI"" ._1Il,. <~_, •• _ ... 01
.-
, .. "
1"><"1 (000 -I "odl
JJI"'-lI~1
1"-C~ilLO~' J;I
,."J 100SI

.adlus
angle in deg.eel
Pol.r lind Ractangul.r Coordlnlte Converslonl
[SHIFT) (-'pol)· will COrlve't the ractangul8r r,';lOrdlfliltes locilteo:l in
the Xand Yr!l9isters. into polar coordinates. (A radhiS arid angle].
The racl,us ""II be dlspl8yu6 In IheXregist"" and the ,,"gl" will be
placll<l In the Yregister. NOTE: The angle will be calculated In
degrees or rad,ans depending on the angle mode selecte<.l (see
palle 16)
[SHIFTJ IINVI (--pol)· will ctmve't tha polar coordlnales (radius IS
In X and the!' angle!' in V) into '~tangular coordinates. NOTE.; The
anglll
In Ywill be Interpretedas dellrees or radiansdeperKIlng upon
Ihe angle mode 5lIlacted. Tha resultant rectangular coordinatesare
placed In lhe X and YreglSle,S.
Exempl.: Conve't rectangular coordInates (1. I) 10 POlal coordi-
nates "11th the angle'" degrees.
.Kly Seq .... nc. Pisplay Commlnt.
IOPSI2 lSHIFTIIIN\I] Irad) 0.00
1 lENT] 100
[SHIFT1 (-.-opal) 1.41
[X"'V] 45.00
•
anl.'r
dllCounl
'1lHng prlcl
DIsplay
200.00
10.00
OllpilY
89.96
2E.99
62.97
Exemple: To celcutate 200x 5%
KI~ SeqUlncl
200 lENT]
5 (SHIFT](%}
Smell the Mark 55 slill retains the orlllinal case numbar In Y. you
can simpty calcillato markon or discount.
Enmpll: Buy 01$-42.00 arlCl marken 40%'whet Is profolana seiling
price?
KIY &equlncl Dllpls~
42 lENT] 42.00
40 [SHIFT] (Of,,) 16.60 prolll
[+] 56.80
.. 111'1'1 prlc"
Exlmpll: You normally s"l1 at $89.96. Mark down by 30""'. What Is
diSGount and sell1ng prICe?
KIY SequlnCI
89.96 [HIT]
30 [SHIFT] /"f.)
H
1(- Y . (tOO}--X
Y
• component
y componlnl
-1,000
1.732
Eumpl.: Convert poil" coordinates {6. 1) 10 rectangllllU
KlY S.quence Dlspley COmm.ntl
(SHIFT) ((lidJ [OPS]3 OJ;lOO
1 lENT] 6 6
ISHIFTJllNIIl
(-'pol) 3.242
[X-'n 5,049
120 lENT] 2
[SHIFTJltNllj/-.-opoIJ
[X-Y]
Eumple: Convert pol"r coord",ates (2. 120J to rectangular
KlY Slqu.nce PilplaV COmmln"
[OPS] 3!SHIFTIIINV] (red) 0.000 Sat 3decimal places
and aagrees mode
2Enter angle lhen
radius
• coordinate
ycoordlna1e
Example: Convert
the reclangular coerd)nalllS (3, 41to polar, wl1h
the angle In radians
K.y Saquence Dllplay COmment.
[SHIFT) (/I.rd) [DPS] 20,00 •
4 lENT] 3 3
[SHIFT] (-pol) 500 .adlul
[X-V] 0.93. !ngl. In redtan'
ISHIFTl f Ll.%) • Calculates the percentage difference between Ihe
numbers", tha I( and Yregrsters, plac9S Ihe result",g percentage
In X.l'Id leaves 'f unchlng&d.
Exampll: GSlallnt last year was 35a loat, This ytar it Is 55elgal.
What rs thE! percentage increase?
KlY Sequlnca Dllpla1
35 lENT] 0.35
55 [SHIFT] (Ll.%) 57.14 anlw ...
[SHIFT] [INVJ (%} -CalculetElS the GROSS PROFIT MARGIN. usi'lll
the salll
price as lhe percentage bllse Pieces lhe anlwer in the X
regrslrlr which
can then be added to the Y reglste. to obtarn 1he
seilIng prIce.
ElIlmpl.: Your product cost $80 00. I., ataer 10 contrIbute a gross
prolil margin 01 25%: wIIe\ should you $!III II at?
Kay &equanCI Dlspll. COmmlnl.
60 [ENT] 60.00 Ente. cosl
25 25. Ke. In GPM
[SHIFT] [INV] «:'.) 20.00 pro",
[+] 80 00 .. IHng p.lcl
a>

Commenta
Store 10 On memory
I.1M 2
I<ev in Jand exehange
... ,th memory 1
Recall memory I
Recall memo,y 2
"
,
"
Memory_Ol,p")' Exchange:
ISIOJ IRCLJ INI • W~I Slmutlane<l\l,ly plKe m. conl.nu oi the
dlsclayIn m.moryNand meeonlanisol memOf)' N mlolhed,splay
bample: STORE 10 ,n memOf)' 1. and 2. Key In 3anti ll!lehange
wl!n memOfY 1Recall memory I 3flC1 2
Ke)' Sequence Dllfllay
10 [STO][1t!STOIt21 '0
J lSTO)lACL1I11
[RCLHtl
jACLII2J
Parlormlng Arlmmetil: WIth Memo.ies:
Wilen rile contents or amemory ilr, r&eallll(l to Che dISplay. lha
&~k 1$ plJ6h«l do ... " I,_e. x~Y, y-·Z z_WI Til,s anows you touse
Ille contents 01 amemory 10 lidO. SODtriJCt. mUll,ply or Ol"-Odawllh
theOl$plily Ityou
want 10 SiI\'1! lneo''9,nal conlcnrsolli1e oisplay.
e"hl!l' $Ior. it Ina memery or linltoueh [ENTJ Detore rElCalhng ihe
m"""ory
example: Store 10,n memory I find the log 10.000Ihen aod II to
memory I. Then mUltiply lhe log 10000 Dy 9.
Key Sequence OIspe.y Comments
10 ISTOj 1 10 Siore 10 '" mamory I
10000 ISH,Fn (log} 4Compt,lt. me !oo;ltOJ!OO
[STOI 2!RC1l1 10 Salle log 10.1JOO and
ree.1I
m.mory 1
[-115l01 1 14 Add and "lore
in memory I
IRCL] 2[3] (XJ 12 Recall log 10.1JOO am
Mulliply by 3
•
Kev In 10 and slmO'lln
me'flory 1.
Key In 20 and Slorll ,n
rre."ory 2.
"'ulliply Dr 2
SIOfl I" ,,",emory )
Recall memory 1
ReeiJH memory 2
ReclllllTlemory 3
Display
".
20 ISTOJ [2J 20.
2
[XI
".
ISTOJ 131
...
[ACt.! [lJ
"
lRet.! !11
20
[ACLI13!
.,.
Eumple: Score II) In memory t. 20 In memOlY 2 m"ltlplV Iha
display by 2end pUI therellull,n memory3 Then fecal(memories 1,
2. and 3.
Key Sl'quence
10 [STOl I1J
Memory Operelions
To allow addol,onall.e,uD,hly ,n ~cuJ.lrions. the MARK ~S has 9
user .IcceSlli,Di, meml)l'oes. TnltSe are In 8001100n CO me. ,eguite'
oce,and 'llle~. end ihe lasl ~ .eg,sIOI
Slor.lge/RlICali
[STOJ IN) N is uny numenc key 1·9 Thos key seQuence .... ,11 clear
memory N
aM $tole In memory N tile date dlsplaylK! The a's,
played numt)tf I, not eUllCied.
(RCLIINJ - N 151\('1 rrumellc ~ey 1·9 fh'6 k"YSa<.luomee""lIch'l~r lhe
dl&pla~ errd reealilhe number slOred In memOf)l Nto tIlo Cl,plav
Thu number elso rema,ns In m"",,,1)'
Unlesb1e1,d end ,esl.leted stOfage:
MemOfIll$
/lt7 8. and 9.ve used [() place f6l<11' OUllng cer1a'"
S1.1Ilr.i(:.11 cakulat,on,. Any orw~OIl9ty storea dil!a will be IOSi In
t!leSe 3 reg'Sler. ou""9 TheM! calculations .nd therefore. lroey
should not be usea dllr~nlllilese limn 1_ DOg~ "'. 25 lor datatls)
NOTE Memofles 1-8 Ilr"unrB!.tm:tedaoo may be useo at any lIme
Clea,lng Memorl •• -
Although II I. nOI nKt's,ar~ to clea, the memorin s.nce. when
slOtfn"
daliltne old datil oS ... "tlen O'-llf. elearlrog can be dOrle b)
SIOl'ing zero or oy turning POW'll' olf and on"
•
"

Meall ollgas
Stllildard <!eY'llion
• 01 Itmploye.
Sum OIIQf!!l
EnTff and sum vector 1
Enter and sum vector 2
Enler and ,um -,,(10. 3
Resultant. component
RlSulllnt y eornponenl
Resultanl mllgrlllude
RtsUl1111t Ingle In de:grees
SUmm
........... n .nd Va"'nQI:
The MARl( 55 WIll IlIMlly I'IandIe calculaTionslnvot¥lng mean. var-
,ance and summallOn$ When per/aIming theM eaJC\llalions mem-
ory rag'sTers1, II. and 9 are used
11. '1- This Is U'Ie s'!lma ke)' or summatlof1 k.., Whan Inls It., Is
ptl:$!lllCl. lhe follow'ng occurs:
Il Memoly '11, incremenled bV 1- This COUll!' lhe numb« 01
8111rl" molde.
21 TnoenumberllllhedlsplaV (X reglslerilladded lothacolllenls
01 memory jig -summatlon
3) The ,quare ollhe number In lhe display l~'lls added 10 lhe
ClOrltents 01 memory '8
41 The CDnlenl' ollhl! Y r&gI$Ie< are a:tdeO To.1'I ,nlel,..1 merrl'
01)1- Ttl .. IlIl1$8d lor ""':;10' addlliOn
ISHIFT] (i ~ -Caleulates lhe aml'lmeTIC mean and Ina s,-ndard
d ... iahon The mean is pl<teed ,n llIe Xregl$Tef Ind the unblilged
STandalll devllTlon In thl YregIster NOTE "tllll ealeulat,n!llhe
"..".n and '1iJndard d ..... lIon. adcI,!IQIUII enln .. mlty' be made "rlotle
~ 7. 8, and II""'" nol been "*1«:1
StrIo'. tloIIgl ...... ng a __ $W15UC:aI e:P;ulallon loueh [SHIFTJ(drJ
which e_ the ealeutator to Ignore (bul does not elear) any
number' ." __ 7.11. 8l1d 9
£ .. rnpla:,".su~at i1company t_ages at Ineem~wlJfe
56 73.7149.27.42 32.ancl21J. ..... hatistnemellll"ll"'8lIC51J1\daro
delrtatlor!
Also the number 01 employees and Ilw SUf'l af their ages
Kay SaipI.nQ1 Olapfa, CoM.nte;
[SHIFT) (dr) 0
561}.")73lr"!71II>1 71
"9 I! '127II'1421~oI 42.
321!>I28[1.'1 211
[SHIFTlfii a) <1725.
[X-VI 18.31275901111
[RClI1 8
[RClI9 378
Two l'lltW Imployee, loin thl comp.ny WhOM Igu Irl 24 all<l 29
WhITis Ihe new mean 11'10 51andlrd d",l<ltiOn1
Kay
Slqulnc. Display Co<1'Imlllll
24[~"129[1:.1 29
(SHIf'l](i., 43.1 Me,n alile
[X-YI 184056\S0852 Standllrd DevlatlOll
"
(ltNlll. -I. I. -. TIlI.keysequellOll .. liMO IOpar!omltllTor rec:ov-
If)' Thai" II will decremtl'\t by Imemory *1, "'bIraet the 01"1$0-
ol-rad number from memory 19 6t/btraet the IIqIHIrI at The: d.
oIllV1d numbar l,om 'f9I$!le1 II
Eumpll: Wtllt I, thllvera!l. of 9tl 100. and 200 ElIlfll 10 inslead
of 100 and perform error re<:OYeIY
KI' s.qu.nel Ol.pla, CO'fln'laml
[SHIFT! (ell) O.
9tl II."I 9tl
"II: II 10 . MIST.-I\E~ -"'ISTAKE'
10 INVj [1.1"1 10 CorreCI mlstak.e
100 [1:. oj 200 [r. II200
[SHIFTl/i ..., 130 Mean
[X_Yj 80 112762SJOO Starn:lard devillllon
DUll Summetion
When USIng ,he summahon funetoon 11. "I. oalh tile summation of
the Xreglsler and Y register con:enll Is "IMorm. Th" (8n be
used 10 MIlam> dual 5"mmahan
fRcq (1. +I • WIll bong 10 the dtSlllay lhe sum ollne X.eqls\ef
fInlrl8$ 1I>1d IMn I_ehlng IX- Y]wHt ",.,.,. the tuf'I of tn. Y l'I'Ql$'~
..,lrleS
Vae:tOl AddlllonfSutltnodlOll
£Ilmpla;The<e are:3veclorsw,th X and Y compooentsol I:J. 4) (3.
7J and (10 '4j.. What is the ,.,"1'-'11 ...etor by adding !he'Je J
togather Also Vlpre$S lOS' ~Nt~ and m,us
key Saquenee 01'" Co,","-,-a
[SHIFT) (orl [Of'S! 2 000
a[ENTl31~d 300
7(ENT131r.·1 300
I<1JENTJ 10{pl to.OO
[HClI II. H16.00
Ix,'Yj 25.00
IX-VI [SHIFT! (-pol' 29 68
[x~·YJ 57 36

MelrlcjU.S. Conversions
u.mple: The tempetatu'e in los Ange1es Is 85' l •• enhaiL 'h'hat
Is lhe equ .-alenl in cenllglade? -
Ke, Seq_nee OI.a, Comme""
[SHIFT] (elt) rOPS! 2 000
85 [SHIFTlIINVJ /c-/) 29 4-' an.we,
FIe."'I"9
Subtrltel 100 "0'" .~ponllnl
10 gl .... a~~ of 0001 ~10 ' ..
"
Enor Renge
'"
1I·-0 or 1I1S not.n integer
'"
lI'>t O. 1I<
><0
Alllihing
Add 100
10 I"ponenl 1o g.ve
an.wer of 1l.332621544· 10'$'
b;ample: To C.llcu'.te 0001 1" 10-
Ke, s.q",ence 01 •• , Conlme""
IOPSl[lNV) IIC/) 0
0001 lEN 0.0001
fEE] 99 I99
[) 1. v)
[CLX] 0 001
Cak:ulatton
"
"
'!' 'V'Y
SIN-', COS
In.,
log.
Error CondItIona
There.,. cart.", ODeretlons t"" c.nnOI be perlormed on the "'arlt
55. ,11(1 an,mPI to Dettorm 11'11$ Will C.lUSl an error eondit~n. An
"'0' cOF'ld!llon l:I Incic.tlCl by a nash,ng 000 To .emo .... a" error
con<lltion touc" lCut] once The followmg 15.11$1 of calcu~llons
11'1., Will C.luM .In e.ror C'!CUlllUOO
O'tetft_ Ind UIllMr'ftow
Wt\ot"... 1I'WIIllSUlt of I calwlahon Is oulside 04 11'111 '..-oge 01 t"e
"Iculltor. ~rtlow [greater ItI.n 999999999999"< 10") o. IInder·
flow ll_ tna" 0 1 >r10~ occu~. This- wUl ()t Indt""., tlY I".
dltPIa, lluhlno "'on"' 1M "'oft' . To interp'ellh. 'e-.un In tilt dis-
p1ly duriflg overllow
{Of undarllowj ,Imply touCl'l [CUI once.oo
then "'ent.11y tdd 100 10 '''1 a"ponenl It o....rllo ... OCC.llffed. or
.ubt.eet 100 f.om th, upone"t It IInder110'" occurred. Tnt ..... 111
.Ho .... you to obtain .... 1111 wllh ato dlgi! m.nllUS wllh ,,,. co'rect
."pon,nl 01 to Nota. II OIl,ln; overllow (or und,rllow) il'ldlt.Hon,
the8llpon,nt Is i9 (01 -99) tMn Ihe reslIll ..... O\jlakle Ina Csp.bil.
Ily of lhe <:,.Ieulato, and adding l00{o' -l00lto the expo ....nt will
not 01 .... tne correct anawer
uam~: Calcut.t, 1001
Ke, S,que"ce Ol.pl.,
lOPS] [INV) (sci) 0
100 100
[SHIFT] (ll'! 93326215« 'Sl
leLX] 9 332621~ 57
Commen"
12 oell.ee, cerllig,adll 10
Fll'llnhllit dlll'Ell!5
12111111 to
Gillions
121nchlls
10
Canllm8le"
12 lX)und, to
ktlo~ram,
,,-,
0'"'
176.37
u.mple: Con~ert IT cenl,g.acle 10 fllrenhell 12 liters 10 gallona.
12 Inc"., 10 cenllmele~ ilOO 12 pounds 10 kllOOfams.
Key Sequlnce Olapt., COfOI .... "I.
[OPS] 20.00
t2 12
[SHtFT] (c-4) 53.60
[RCL] [LST X) 12,00
[SHIFT) (Itr-g.l) 3.17
[RCLI [LST Xl 12.00
[SHIFT] [INV) (cm ..... in) 30.48
lRCll ILST X] 12.00
[SHIFT] [IN\I} (lIg-lO) 544
"
Key Sequence
[SHIFT] telf! lOPS) 2
/l(l [SHTFT] /11; ...... 01
!SHIFT) (c-I} •In:IID'eIS lne Ojspl~ l$ belno In c...,llgra.de and
convtrlS to l
.. ntnhe,1 tempe.alure
(SH1FTI1INV] (c_} .Inlerp.els the displa'( 8S be'ng In 1a.,enil",land
convertS
10 cenllgr;ade lElmperature.
[SHIFTj III.-gall .Inlerprets tho dIsplay", ba,ng In IIlera and
converts 10 g;allons
ISHIFT] [INV] (I1r-ga/) -InterprelS th' display as belng]n g.l1ons
and
convllts 10 hlens;
ISHIFT](l::m-mJ •Interprels the display as be'ng In tenllmele'SlInd
converts 10 Irlches
[SHIFTl [INVkcm-.",) -lnlerp'llts thedisplay as being inInChes al'ld
converts 10 centlmele,s.
(SHIFT] (1('J-IbJ -lnleop'lI]s!he dlsplay.s being In kllog.ama .nd
conve!ts to pollnos.
ISHIFT]IINV) (kg-Io) •Inlerprets the oislltay as being in poul'lds
ano rxuwe<l$
10 kllog'erffil;
eumple; W",le In Eu,ope, a scale IlIltCIa Ih.l '(Ou weigh eo kIlo-
lI"lIlT15 Whal ... oulo' you _"111'1 in New "o.k? (Assume no i!IleclS
from g.,l~ 1.I,on.1 varl.tions)

Comment •
CaI<:ul.lI N
.""
SIor. ;1\
memory I
Dhopt.y
••
..
" •.
- ...
~O.523a09S2381
121..588135&15
~ .... ,
'.00
3600
•
256.00
17.09
8."
38.00
1.13
l11,OO
33.09
1041'1
"
I(e, s.quence
lOPS} 2
6[SHIFT] IINY] / fiJ
16 [ENT] "
(SIiIFT] [lNvl(fi) [XI
1"') [SH1FT](fi) (STOll
2[-1
6 [ENT] (xl
8[ENT]4(X]I·1
4 [SHIFTlIINY] (fi)
lACL11 1.1
61-111"'llxll'l
•
."
'I~---~---~.IC
I. b __ 6 _
."""., in
d .. ~
Eumpk: G,VClO. parabOla "ShOwn, wtl.t i$lhtI arc l.ngth ABC?
$Olution:
Arelength--(N 21-(0' 8e)lo\l .... NI bll
.... here N_ "'b'~ tL'
Thereloll
N-\'(6)l',l&(4)l'
Afe length-IN 2J' 116, al ta·4}] Inlt4.4. Nl-61
K.y Seq\I.nce
(SHIFT] IINVI('ao)
7 [SHIfT) ltNV) ("r;; J
9[SHIFTI [INVI (fi J1'1
14 (SHIFT] [INV) ("r;; JH
2 [ENT] 7[a[ 9[all -I
[IH\I) [COSI
•
CalculllfJ 2lI ano store
10 memory 2
X, root I
,.
-14.
-7
H
11"'1-1 ,ReLll H
IRCLj:!: (-1
hampla: Whil' .... the 2 rOOIS of th. quadratic equillion.
x··)C-42"O:
l-tl:~)
SOlution U_ X" Xl-- 2. wMre ... 1.tI-'. c~-42
Key s.quence ~Ip&e)' Comlllell1S
111/-IIENTJ -1 EnlfJr-b
I lSHlfT) IINV] 1-li"IIENTJ 1. Calculate Jb"-4ae
4 lENT} 1[X] 421-+/-1 [Xl 188 anrl SIOfll the
I ~I [SHlfTIl fi) [STOI I 13 f •• uliin memory 1
It] 12
21EHTll [X] [STOI [21 2.
TO lurthe' assISt you in under$tandlr'lll how to use your Calculator
some tlasic uaI"'lpln 01 prob!''l'lsolvmg .re lltoen ,n Ihl5 seclIOO h
~uld lie IlOled Ihalthe m.thOdS o\ltllnecl hert ilr. 001 the only
way 10 solve the protllems. bUI are UHll 10 give: you a"flow" of
problem solving.NOTE: Seelloo tv cool.llnt llrolJP' 01 usehllequa-
lions. Som,ol !heM IqlJatlOM lte uted In lhe! folla .. tnge..ampla5.
Mathematlea
Eumpl.: For Ina trlangl. thown. whet Is the aogle A
Section III
Practical Examples
,
SOlution: Us; ... g ol_b
a
"'c
l
_2bc cos" w, obt,tn
•
., (01 ~C~_") «(1)~ +(9)"-(14)')
" cos 2bc cos-, (2l m(9)
"

C.lcUI." h$IO'e In 4
Calculale J\2
2nd paymenls
Pllrcan'dlf1arence
Olapl• .,.
'OlOO.
0019375
1 .5849496899
151149.50
Comment.
[Iller tile nlllll$ ... 0>
tllr $II_loon 'ijow;tiurl
C,lculat" mean. and
store 1.1!IIlfIIOtJ I
Unbiased STallUrcI
de .... t ...
UnllliSlCl .. ,ri,1lai
s....1lI sqlW1!5
Num!aer lli ,n"~
IllUn1qUared
81~ wanance
Slned standa.1l
drvl,tlllll
Number 01 subgroups 0'
6 people
Olapla.,.
II
l
'.2
) !l631OS93625
12 10ס0ooooo1
2"
••
38 .....
1016
) IB7'7!i49011
,6\
81(38-=-8)'
Ol.pl,.,.
3719933267 .,
120.
30
2.651526598 32
1941792
Key Seqvence
36 [SHIFT] (lflJ
6[SHIFT] (.,;
36 (ENT]S [ I
ISHIFT)
(.I)
l~1 [ 1
Combinations
Eu .... ple; from, glOuP 01 36 people. tIow ml"y subgroups 01 6
people cal> f)tlIOlmlllCl
SOlUIIon;
"36
Ute Cr·C 6-
St.tlStlCl
~ampl,; for tl'll ~alues" 9.11.4, ana 3 ""el is Ihe mea". un-
~ standarc deY1ation ana unl),Ull(! y;ar,ance? Wllat IS tM
blasea Slancllid aevlat,on ana vaflance"
Solution; Til. mean ana unlliasad standard devlat,on can be
.utomalk:.U.,. c.lcul.tea r....n ....... lOlnc:e·ISlIl/1lll.rd oeviatlOn)"
~ l(1 1'4-'
To Iond I.... biased ~anance U$Cl ~ar - ~ J<
r .'=sum 01 squares 01 entues
N"nurntler 01 enlt .. ,
i )~m-.an squarea
k8'Y Seq~llCe
ISHIfTl (elt)
4II: ·I'I:£·J Illr .. '
4(r·PIE-!
[SIUrTj ri s}lSTOjl
(I-VI
(SHIFTJ 11~'lJ(fiJ
11Itl] B
(lItlll
[RClll IfffTI £Xj
[I] H IRct.1 7I
ISHlfl],fij
Calwl<lle-n
,
1$' paymtlf1lS
Siore In memery 1
Calculate 1>; storti In ..
E .. mpl'; You ate obtalnlng amor1g<tge to' $30.000 One bank
offen you. 3Oye81 rnotl~ elll'Jl, pel }'UI .nd I....Oll'let be"lc.e25
year mongage .18 S~. WIlk:h OI'Ie Will gMT you Ina 10_ rnonlnJ.,.
pa~1 .nIl wtle' 15 lI\e pefl:ernolgoe dHlerenOll between the 2
pilyments
Solution; UsIng tM formula
I.P I.P
Peymenl-
1 {I'IlN (1.1) N_1
P_principal III number of paymenl pe .. oas
1.lnleresl per periodu II dec,m.1
Ka, Sequen ..e Ol.pla, Comments
(DPSl 4 0ססoo
OS [ENn 12 I I [STO] "0,0067
[-I-) JOOOOIXI 200 OOOC
[RCllt.l1 I \ j1.0061
30 lENT] 12
[X! ItI360 ססoo
['1;(]1 HI"'j 220129.
[STOl' 220,1294
C85[ENT] 12['I!STO)4 0,0071
ItH300001~1 -212.5000
IRCLI [':)I! .. l1.0011
25 (ENTI12[XI (+'-1 -300.ססOO
[yX] I [ ) IJ241.5681
IRCLj1 [SHIFT]
(.c.%J 88748
Business and Finance
En~; '10.000 11 dePOSlted ,n 8baIlk OIl 175% per year, I;em·
pounded aua,lerly. WI\lII 1& ltle lotal amounl .her 6yelllS?
SolutIOn U$lnll AmOU'lI·p II j 1)1'{
om
I =lnllrMl per perIOd" -.-
N .. Numbef 01 perloal-(41.(6)
Ka, s.quanc:a
10.000 IENtI
1lENT] .0nSIENT] " I
H "lENT] 6 !X! IY"I
!"IIOPS] 2
'"
"

, (cun.ntl
VI
bfl"'R
R'
,.
2". II a.nd Slore In I
A,,,,{2,,.ILj'
Dl.IIY
0000
196.000
• 28'
12818
"" 293
'"
" ..
721 180
0.916
0>"
S3l..lU7
k., s.quenc:e
IOP513
14 IENTJ jX!
2 {ENn ISHIFT} {ff} (XJ
60 IXI .034 (X]ISTO]1
[SHIFTl (INV) ( >Ii) ["I
ISHIFTl(fill17
(X-V] 1+1
IT
7
lXj
[RCl] 1 [ENT] 14 I
IINV) [TAN] (COSI
IX'
e.:.mple: Whal IS lhe eQu"'alenl reslsl.,.e;e 013 parallel r-..st(ll"S
whose ..... 1>t1I "e 100 ohms. 220 ohm ... no 560 ohms.
1
SoIUIIOn·U,mgAT- 1 1 1
Ff,'~'1i;
-
000
0.0 I
4.5S -03
1.79 03
61 23
Electrice' Enginl!erfng
EQmple: A coil NY,ng ,nd~ of 0 OJ.I Iwnrfes and •res ...
W\C:e of 11 ohms ill c:onnec:18d XtOM 111 'lOlls, 60 IIertt. Whal is
lhII current Inrough lhe eoll.no lhe power etnofl>lCl by the eoll?
501"""00:
Ulll'g I·VIZ where Z- .; Rll (21f ILp
lind powe'-VI CO$lJ ....hen Q _lin I( 2~ IL)
(OPSI2
100 {SHIFT} (Ih)
220 (SHIFT) ('12)
S60 ISHIFT) (lfIr)
H[+IISHtFT) ('h)
Ex.mple: The po_rOtltpul 0' an .mphh8f Is IncreeiMd from 310 S
""lltS. Wht\ ~ 1M ch.nge in db (detlbleaJ
SoIullorl U'lngN_l01og~
"
k.y Sequ.nce D1apl.y
[OPS] 2 000
10 IENn 5[ENT] 3/.] 1.67
(SHIFT] (log/ (X) 222 .nlwer
CtJallale S
.nclSlor.
on memory 1
C.lcu)". A 'llll
divide by 5for
.n ......
C.lcul.te e
.Oll divide
by S'or
.nl.1It b
Dr,pl.y
0.00
'00
13.00
"" 00
'.00
'.00
0.02
'.00
'.00
165 00
0.29
A
then PIA' ... p"0bIIbIIity.1l3 .... delKl.... S
P(SI prOOabllltynol1l!ar.defe<:I ...... .;.
OJ
.j
Permutations
E ... ""P'e: FitIc:Ilhe numbu at .,rangemellUllha' c.... be ...all 110m
In. nllmbers 1ttlrOugll 6IlIk,ng 3 al • tim.
Nl II'
Solution uil~ p" IN R)l ~ (6=JjT
Key SequIm:. D1ap1l1y
6/SHIFT) (.,) no.
[ACLlllST XI 3 I 3
[SHIFT) (X/II"'] 120. InII •• '
Probability
e .. mpll; You choose 3llems '10m. group 01 III There are 5
delttelN8 pieees In It>egroup 0116 (Ill What fllnep,ob.lblJ1tylha, all
3items ale (jttlecll.. e? blll'lal nQlle 8te oele<:l've"
Solutlon:
S - "limbe. 01 wlJ)'S 3i1ems un be ChON" hom
• C 1"1 '"
3 - 31 '16-311
A .. nlJlftblr of _ys 3 d"'llCt~ !!ernl can tNl chosen fTom 5
deltct_llems
, 5'
-C til .. 31 (S 3)1
B.. number of _1'5 thaI :1 non delectlve items un be chosen
hom l' non-defe(;l....e I'_
II 11 ,
.C{3'- 3~ (11 3)!
Ka, s.quanc:a
[SHIFl}eI')[OPSJ 2
16ISHIFT}:r'13 ISHu:TV:r'J
16 (ENT] 3 [ I
[SH1FT}1I')lltll~JISTOI ,
5ISHIFTflll} 3[SHIFTk'.!)
5 [ENT]3[-J [SHIFTY:r'1
Ixjj-.·!lRCll II I
"[SHIFT",,') 3[SHIFT](JlIJ
11 IENTl 3{ ]
(SHIFT ... m"U ·1
(RClI 1 (.)
"

Ill' Sequlnel
Ol.pl., COl'I'Imenta
[OPSII"J/
O. 00
Set sclenlllic
d'splay
16 tENT] ססoo [ENT) J"
Enler 16
(SHIFT] [INVI (~I
9 06 M'
4000 lSHlrTIIINV]IV"i J
.. ,"
T'
[;] [SHIFTI/,,"J [1] [X]
,"
"16 (M+
IM'+1')
3IENT] (Y' llSHIFTJ(.. J[X]
8.482300164 "
,'.
II
1.509024645 OJ
." ....
Hlechanlcal Englne.rlng
E .... : A tonsil 3lflCMs ,n d...melef 10], "P a3OOllinctl-pOund'
boem!,ng moment (hoi] anO 8 ~ ,netl·paunOs lorque £T] Whal IS
lhe ma.,"'um ,IIe55'
SolutIOn UN mlU,mum ,tress
Sel SCIOn·
ti1k mlXla
t 0' Enter I
504. Enle. r
, 0' Calculale
V"
Calculate
I! t'.e
01 .n ....
In _Oltl
Ollplly
a 00
4539992976 -05
349984.1100
fa.Il\fIlI: A '!eP "ojUge tv') 01 3S ..-oll.t 'S .ppt.-o .crO$$ a s.r~ r<;:
network r -SOl(, C2,.,tO Wlgt IS Ihl! vollage..:rOSS \!lie c~c'lor
IVcl "f1er '00 m,ltsecondS
SolutIon U,I"OVc
VII'~e-I"lcl
l(eyS~ ... nee
[OPSl {SC'}
tOOl'/IIEE)3[;'-IlENTJ
501EEI31ENTJ
2[EE)6[
-I -II ~ II
[INVJ lin)
H-)I[1135IX)
Eumploe: Paralell plate cacacilot h., pl"tt ar", of 2 2m', ane
plale separ;tllon ot 8 'mm ,n" '<acuum a polenl'" ",llerenee of
BOllD volt, 15 aoohO, What ili 111 t~ caPK",nce :l llle cN'ge on
tile capaellor, cl lho! elect"c mlens,'y bet .... een t~ plalli!'5'
Sallo",:
faA Ie 85" tQ 1l]12.2)wuJ7
I) u,·n;C· 0 6"1,10' N-:-M
Il, charge 0 C Vib c.oulombs
o NewIOR$
c) E· EM COUlomb
21
21m
w,
sinh (WXIT]
.n .... I" 11.'
DI~.~ Comm."ta
0.00
136e59
6832.96 Itm!
8100 '"~
55.37 f,' I"
18917435 I" •• "
E .. mpll: Aun,lorm power cabl." hung e. .......n2 polls 01 equilll
h.llll'l1 .nd SO flit Ipan {2Xl. Till wIlgnt 01 It>l c.lli. (WI is U
pounl1llOOl Tile MnslOn alll'Mliowto5ll)Olni (T) ,s65Ibl. WII.t is Ille
lenglh 01 tile ".tIl.1
21 W,
SoIUlIol't Ullng l--W SINh T
Key 'MUI_ OI •• y C_tII.
IOPSj 2 000
2lENT) 115 IXI 13C11111
I I 1 I , 18 III
I 1 lENT} 50 IENTI 21-JlXI 'Z1 SO
65 I ) IHYPJ ISlNj 0_ .....
PII 51 !o1
EUllllpI.: OIterm,ne 1M momen1 01 .nertll at • 1'\01101" eltcular
e,1,noet
aboul ,IS a'''' The outer fad,us I, 3 f"t IR,1 the onneo
rad,us 2 2!o teel (R,I thl! lenglh is 5Iflell .nd Ihe mall!n;lll haS a
man 01 435 Illl1t' Iml
.ml lr,' f:'l
SOlul,on: Ule 1_ 2-
1I1~ S~ulncl
lOPS] 2
lSHl1'T'] (1tj [ENT) 435 [X]
S[X]
3IENT)4[y')
225 [ENT]4 [v"1 H
(~1 2( !
CllcUll1l t llA ;tn(I
stOfl! ," 1 101 part C
up.dtlnc.
eh •• o-
flKtr1c Inl""~ty
D1ap1.y
a00
000 00
885 12
1 95~ 11
319 09
255 05
131 06
Key s.q-I>tl
ISHlfT) (d'j [OPS) (sci)
IDPSI2
II S5 [EEI'2I' ][ENTI
22 [X]ISTO) 1
611Et131" II I
IlOOO IXI
jRel] II I
"

Solution Using S .. Vot
Key SaquallQ
lOPS] 2
.a IENT12.S !Xl
5(ENT] 9.807 (XJ
2.5 [SHIFT) 'tNY] (fi J
IXlH
c. __
Enter frIO
('M'massl
I-N'
mlll5oS.I ... ",..sc
Entet mo
, -N'
•
am'
q
Kq'
a
825 l/lCtesse,,1825%
Display
9.10956 31
0.6_6732)<10.... nl-m'IK!i
q .. 1.6021ixl0-" caul
Ol-.pley eo.tI .. eJttl
0.00 00
g ... 09
1.60-li
231-21
6.67-11
9 10')5f; -31
5.504-71
4.17 42 en_
Atomic and Nud •• r Ph, .. cs
Eu",ple: WNiI i& I~ "'to of!hll elKtric8lloree (Ie) and grwit8-
1i0n8llorC1lltg)~" 2eleclrons?
Sol .Fe )( (q'!r") ...!!L
1ttioIl. Fg .. G (mil'")" Gm"
)(-i)<117 nt-m'Jeoull
mus-g.l09SS><10 "'kg
Key~e_
IOPSI ('1;>1 [OPS] 2
9lEE] g [EHT]
U0219IEEJ 191 "-l[EN'O
IX11X!
6.15732[EEllt H-) [ENTJ
i.10li15fJ IEE131 1·1-)
JSHlFT] [INY) (fi) [X]
I"')
Quantum Phyalet
b'fIl~: Whal" I~ mnsofltl\ eleetron lnIYeling" NIlI ttle $peecl
oll,ght7 AJso el 3:51.he,pHd 01 hghlwt"t Is 1M '" incl_.
Solution USing m_ frIO ... _e N".!.
~~ C
In cae 1 N. 5el"d In cue 2 N-.6
Key S.-que_
910956 [EEl 31( '/-!IEHT]
1 IErm ..5ISHIFTI (INV) (Vi 1 0 25
H 075
(SHIFT] Ni) HIST011 1.D518a1383-3O
9l0956jEE] 31 r-/-IIEHTl 1110956 -31
1[EN'O 61SHIFT] 11NV) (Vi I 0 36
H 0.64
ISHlFT](fi) 1+1 .. 1386ij5-30
IRCljl IX' 'YIISHIFT)' 6%J
IOPS1 2
Rectilinear Motion
e,:all'lpM; AtIIll II l/Vown upwara wlln." Initlll .....ociry (Vo) ol40
meten.'sec_ WhIIlt is the heoghl (5) allhe end 01 2~ seconds (I'"
",
2 ""he'·9_9.807meler,JeCl
Ollpla, eommanta
0.'"
100.00
'.90
....
.. '"
Simple Harmonie Motion
Eum"': When ltle bel_ wlWlel 01 •walCh .dlSplaced "S-from
ilsequ'lIbnUfl'l positlon.lt ~Imi to _wrthan AJlllUlar acc.ler ..
lion 01' 30 ...:!.'seel FInd tTIe fl'equenc:y F
. " .j2S rac;MC
SoIvtiOfl USIng F- T - 2i"" ~. '8d
K., S~. 01 •• )' COflllM'fll'
tOPS! 2 000
2 lENT] ISHIFn(aJ IXI 6.28 2"
!SHlFTlfftwJ 016 ......
2S IENll [SHfT}(.} [E1'lT) 3.1.
4( II I 3183 :8(_141
(SHlfTj ,,,. J Ixl 090 anaw ...
Hlvlgation
Enl'l'lpla: An alrplana h •• In alt speed 01601) rnon al abeaflng of
,,:) .It It I1ghllJ11l1 hud wll"lCl 0160 moh .1 the headmg 01 225" What
It the grouncl spelld, .nd final hNdlng olll'le airplane?
So!uhon nlll IS sImply the $Ummall(ln at 2 WlClOrS
K.)' Secru-ncl Ol.pl_,. Conlmaflg
(SHlfTl (elf) 0
4$. [ENT] 600 600 Enter IIrsl 'IOCtor
($HIFTlIINVI (-poll "2 •. 26 and convetl 10 reclangUlar.
Ir ,] 424.26 Sum M. ycompontll'lts
l25 (ENT] 60 60 Enter 2nd ~lHllor lind
(SHIFT] IINV]/-poJ} -42.43 ton~o't 10 reCtllngula,.
(~llrRCL1[r.'J 381.84 SumM.yc"mpononlsandr&Call
[SHIFT] (-pol) !>40.00 g'OIInd .peed
rx~·y] 4500 nnaJ h .. dlng
,.
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