IMI SENSORS M642A01 User manual

Model M642A01
4-20 mA Output Velocity Sensor
Installation and Operating Manual
For assistance with the operation of this product,
contact PCB Piezotronics, Inc.
Toll-free: 800-959-4464
24-hour SensorLine: 716-684-0001
Fax: 716-684-3823
E-mail: [email protected]
Web: www.imi-sensors.com

Manual 21354 Rev E
ECN 50523
Repair and Maintenance
PCB guarantees Total Customer Satisfaction through its
“Lifetime Warranty Plus” on all Platinum Stock Products
sold by PCB and through its limited warranties on all other
PCB Stock, Standard and Special products. Due to the
sophisticated nature of our sensors and associated
instrumentation, field servicing and repair is not
recommended and, if attempted, will void the factory
warranty.
Beyond routine calibration and battery replacements
where applicable, our products require no user
maintenance. Clean electrical connectors, housings, and
mounting surfaces with solutions and techniques that will
not harm the material of construction. Observe caution
when using liquids near devices that are not hermetically
sealed. Such devices should only be wiped with a
dampened cloth—never saturated or submerged.
In the event that equipment becomes damaged or ceases
to operate, our Application Engineers are here to support
your troubleshooting efforts 24 hours a day, 7 days a
week. Call or email with model and serial number as well
as a brief description of the problem.
Calibration
Routine calibration of sensors and associated
instrumentation is necessary to maintain measurement
accuracy. We recommend calibrating on an annual basis,
after exposure to any extreme environmental influence,
or prior to any critical test.
PCB Piezotronics is an ISO-9001 certified company whose
calibration services are accredited by A2LA to ISO/IEC
17025, with full traceability to SI through N.I.S.T. In
addition to our standard calibration services, we also offer
specialized tests, including: sensitivity at elevated or
cryogenic temperatures, phase response, extended high
or low frequency response, extended range, leak testing,
hydrostatic pressure testing, and others. For more
information, contact your local PCB Piezotronics
distributor, sales representative, or factory customer
service representative.
Returning Equipment
If factory repair is required, our representatives will
provide you with a Return Material Authorization (RMA)
number, which we use to reference any information you
have already provided and expedite the repair process.
This number should be clearly marked on the outside of
all returned package(s) and on any packing list(s)
accompanying the shipment.
Contact Information
PCB Piezotronics, Inc.
3425 Walden Ave.
Depew, NY14043 USA
Toll-free: (800) 828-8840
24-hour SensorLine: (716) 684-0001
Repair inquiries: rma@pcb.com
For a complete list of distributors, global offices and sales
representatives, visit our website, www.pcb.com.
Safety Considerations
This product is intended for use by qualified personnel
who recognize shock hazards and are familiar with the
precautions required to avoid injury. While our equipment
is designed with user safety in mind, the protection
provided by the equipment may be impaired if equipment
is used in a manner not specified by this manual.
Discontinue use and contact our 24-Hour Sensorline if:
Assistance is needed to safely operate equipment
Damage is visible or suspected
Equipment fails or malfunctions
For complete equipment ratings, refer to the enclosed
specification sheet for your product.
Definition of Terms and Symbols
The following symbols may be used in this manual:
DANGER
Indicates an immediate hazardous
situation, which, if not avoided, may
result in death or serious injury.

Manual 21354 Rev E
ECN 50523
CAUTION
Refers to hazards that could damage
the instrument.
NOTE
Indicates tips, recommendations and
important information. The notes
simplify processes and contain
additional information on particular
operating steps.
The following symbols may be found on the equipment
described in this manual:
This symbol on the unit indicates that
high voltage may be present. Use
standard safety precautions to avoid
personal contact with this voltage.
This symbol on the unit indicates that
the user should refer to the operating
instructions located in the manual.
This symbol indicates safety, earth
ground.

Manual 21354 Rev E
ECN 50523
PCB工业监视和测量设备 - 中国RoHS2公布表
PCB Industrial Monitoring and Measuring Equipment - China RoHS 2 Disclosure Table
部件名称
有害物质
铅(Pb)
汞
(Hg)
镉
(Cd)
六价铬(Cr(VI))
多溴联苯 (PBB)
多溴二苯醚(PBDE)
住房
O
O
O
O
O
O
PCB板
X
O
O
O
O
O
电气连接器
O
O
O
O
O
O
压电晶体
X
O
O
O
O
O
环氧
O
O
O
O
O
O
铁氟龙
O
O
O
O
O
O
电子
O
O
O
O
O
O
厚膜基板
O
O
X
O
O
O
电线
O
O
O
O
O
O
电缆
X
O
O
O
O
O
塑料
O
O
O
O
O
O
焊接
X
O
O
O
O
O
铜合金/黄铜
X
O
O
O
O
O
本表格依据 SJ/T 11364 的规定编制。
O:表示该有害物质在该部件所有均质材料中的含量均在 GB/T 26572 规定的限量要求以下。
X:表示该有害物质至少在该部件的某一均质材料中的含量超出 GB/T 26572 规定的限量要求。
铅是欧洲RoHS指令2011/65/ EU附件三和附件四目前由于允许的豁免。
CHINA RoHS COMPLIANCE

Manual 21354 Rev E
ECN 50523
Component Name
Hazardous Substances
Lead (Pb)
Mercury (Hg)
Cadmium (Cd)
Chromium VI
Compounds
(Cr(VI))
Polybrominated
Biphenyls (PBB)
Polybrominated
Diphenyl Ethers
(PBDE)
Housing
O
O
O
O
O
O
PCB Board
X
O
O
O
O
O
Electrical Connectors
O
O
O
O
O
O
Piezoelectric Crystals
X
O
O
O
O
O
Epoxy
O
O
O
O
O
O
Teflon
O
O
O
O
O
O
Electronics
O
O
O
O
O
O
Thick Film Substrate
O
O
X
O
O
O
Wires
O
O
O
O
O
O
Cables
X
O
O
O
O
O
Plastic
O
O
O
O
O
O
Solder
X
O
O
O
O
O
Copper Alloy/Brass
X
O
O
O
O
O
This table is prepared in accordance with the provisions of SJ/T 11364.
O: Indicates that said hazardous substance contained in all of the homogeneous materials for this part is below the limit
requirement of GB/T 26572.
X: Indicates that said hazardous substance contained in at least one of the homogeneous materials for this part is above the limit
requirement of GB/T 26572.
Lead is present due to allowed exemption in Annex III or Annex IV of the European RoHS Directive 2011/65/EU.

SENSOR
S AND INSTRUMENTATIO
N FOR MACHINE CONDIT
ION MONITORING
Model 642/643/647/648 A Series Industrial 4-20mA Sensor
Operating Guide with Enclosed Warranty Information
3425 Walden Avenue, Depew, New York 14043-2495
Phone (716) 684-0003
Fax (716) 684-3823
Toll Free Line 1-800-959-4IMI
MANUAL NUMBER: 25778
MANUAL REVISION: C
ECN NUMBER: xxxxx

PAGE 2
SENSORS AND INSTRUME
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CONDITION MONITORING
Table of Contents
Introduction...................................................................................................................... Page 3
General Features
Dimension Drawing.......................................................................................................... Page 4
Operation and Wiring....................................................................................................... Page 5
Standard Wiring
Taking Measurements
RV Option
TO Option
Installation........................................................................................................................ Page 9
ESD Sensitivity.............................................................................................................. Page 10
Warranty/Servicing
Warranty, Service & Return Procedure.......................................................................... Page 11
Customer Service.......................................................................................................... Page 12

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SENSORS AND INSTRUME
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CONDITION MONITORING
Introduction
The Model 642/643/647/648 A Series Industrial 4-20mA Sensors combine the capabilities of a piezoelectric
vibration sensor and a 4-20mA vibration transmitter. The sensor outputs a 4-20mA signal that is proportional to
the overall velocity or acceleration of the machinery. Ideal for monitoring the vibration of process equipment such
as fans, motors and pumps, the output of the sensor is used for process control or predictive maintenance. There
are many options in this series. Please refer to specific specification sheets for further details.
General Features
Imbedded Piezoelectric Accelerometer for improved accuracy and frequency response.
Vibration range can be in Acceleration or Velocity.
Allows for continuous vibration monitoring of critical applications.
Reduces sophisticated vibration analysis requirements.
RV (Raw Vibration) option for conducting frequency analysis and machinery diagnostics.
TO (Temperature Output) option via an independent 4-20mA loop.
Readily interfaces to existing process control and predictive maintenance equipment.
Rugged stainless steel construction for applications in harsh environments.
Flexible design allows for various custom requirements.
Swivel mount simplifies installation.
Cable may be positioned in any direction.

PAGE 4
SENSORS AND INSTRUME
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CONDITION MONITORING
Dimension Drawing
1.05
[26.7]
PIN B:
NEGATIVE
4-20 mA
PIN A:
POSITIVE
4-20 mA
1/8" HEX ALLEN
KEY REQUIRED
MOUNTING STUD
MODEL 080A162
(SUPPLIED) 1/4-28 UNF-2A
3/4-16 UNF-2A
1.41
[35.8] 7/8 (22) HEX
1.98[45.7]
1.24
[ 31.5]
ELECTRICAL CONNECTOR
5/8-24 UNEF-2A
2 - PIN (MIL-C-5015)
Inch (mm)

PAGE 5
SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
Operation and Wiring
Standard Wiring
The Model 642/643/647/648 A Series operates from a standard 2-wire, 4-20mA loop. If using a loop powered
unit, attach the positive (+) input from the power supply to Pin A or Red wire on the sensor and the negative (-)
input from the power supply to Pin B or Blue wire of the sensor.
Figure 1 –wiring: loop powered Figure 2 –wiring: loop powered/DC source
If using a standard DC power supply, install either an ammeter and/or load resistor in line with the output, Pin B or
Blue wire.
The resistor will generate a DC voltage that is proportional to current by:
V
IR
If R ohms and I mA thenV VDC
500 6 3,
Note:
- Resistor value must be less than: (Vsupply –12) x 50.
- For integral cable sensors: RED wire is positive, BLUE wire is negative.

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SENSORS AND INSTRUME
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CONDITION MONITORING
Taking Measurements
When measuring the current output from the unit, use the following formula to calculate the vibration level:
Vibration Output = (Measured Output –4mA) x (Full Scale Vibration Output /16mA)
Measured mA 642AX0 642AX1 642AX2
4.00 0.0 ips, pk 0.0 ips, pk 0.0 ips, pk
8.00 0.125 ips, pk 0.25 ips, pk 0.5 ips, pk
12.0 0.25 ips, pk 0.5 ips, pk 1.0 ips, pk
15.75 0.37 ips, pk 0.73 ips, pk 1.47 ips, pk
20 0.5 ips, pk 1.0 ips, pk 2.0 ips, pk
Measured mA 643AX0 643AX1 643AX2
4.00 0.0 ips, rms 0.0 ips, rms 0.0 ips, rms
8.00 0.125 ips, rms 0.25 ips, rms 0.5 ips, rms
12.0 0.25 ips, rms 0.5 ips, rms 1.0 ips, rms
15.75 0.37 ips, rms 0.73 ips, rms 1.47 ips, rms
20 0.5 ips, rms 1.0 ips, rms 2.0 ips, rms
Measured mA 647 648
4.00 0.0 g rms 0.0 g rms
8.00 1.25 g rms 2.50 g rms
12.0 2.50 g rms 5.00 g rms
15.75 3.67 g rms 7.34 g rms
20 5.00 g rms 10.0 g rms

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SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
RV Option
The RV (raw vibration) option includes a 100mV/g ±20% additional output. The accelerometer frequency range is
1 Hz-10 kHz, maximum amplitude of 15 g-pk. Data collectors or analyzers can use this vibration signal for further
analysis.
Figure 3 –RV wiring
For integral cable sensors:
RED 4-20mA Positive
BLACK 4-20mA Negative (same as green)
GREEN -RV Acceleration Negative (same as black)
WHITE +RV Acceleration Positive
Note:
-The Acceleration Signal Negative has to be isolated from any grounding. If this terminal is grounded, the 4-
20mA loop will short, causing no output.
-The acceleration output signal is ideally suited for use with portable battery powered data collectors or analyzers.

PAGE 8
SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
TO Option
The TO (Temperature Output) option includes an additional independent 4-20mA output for temperature
measurement. The temperature range is from -40°C to 125°C with an overall accuracy of ±5%FSO. The
imbedded temperature sensor monitors the environment internal to the sensor housing and is situated at
approximately mid level.
Figure 4 –TO wiring
For integral cable sensors:
RED 4-20mA Vibration Positive
BLACK 4-20mA Vibration Negative
GREEN 4-20mA Temperature Negative
WHITE 4-20mA Temperature Positive
Note:
- The same power supply can be used for both4-20mA loops. Connect the both positive terminals to directly to the
power supply, then use the negative terminals for independent process loops.

PAGE 9
SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
Installation
Installation should be performed per the following detail drawing for best performance.

PAGE 10
SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
Warning 1 –ESD sensitivity
The power supply/signal conditioner should not be opened by anyone other than qualified service
personnel. This product is intended for use by qualified personnel who recognize shock hazards and are familiar
with the safety precautions required to avoid injury.
Warning 2 –ESD sensitivity
This equipment is designed with user safety in mind; however, the protection provided by the equipment may be
impaired if the equipment is used in a manner not specified by PCB Piezotronics, Inc.
Caution 1 –ESD sensitivity
Cables can kill your equipment. High voltage electrostatic discharge (ESD) can damage electrical devices.
Similar to a capacitor, a cable can hold a charge caused by triboelectric transfer, such as that which occurs in the
following:
Laying on and moving across a rug,
Any movement through air,
The action of rolling out a cable, and/or
Contact with a non-grounded person.
The PCB solution for product safety:
Connect the cables only with the AC power off.
Temporarily “short”the end of the cable before attaching it to any signal input or output.
Caution 2 –ESD sensitivity
ESD considerations should be made prior to performing any internal adjustments on the equipment. Any
piece of electronic equipment is vulnerable to ESD when opened for adjustments. Internal adjustments should
therefore be done ONLY at an ESD-safe work area. Many products have ESD protection, but the level of
protection may be exceeded by extremely high voltage.

PAGE 11
SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
Warranty
IMI instrumentation is warranted against defective material and workmanship for 1 year unless otherwise
expressly specified. Damage to instruments caused by incorrect power or misapplication, is not covered by
warranty. If there are any questions regarding power, intended application, or general usage, please consult with
your local sales contact or distributor. Batteries and other expendable hardware items are not covered by
warranty.
Service
Because of the sophisticated nature of IMI instrumentation, field repair is typically NOT recommended and may
void any warranty. If factory service is required, return the instrumentation according to the “Return Procedure”
stated below. A repair and/or replacement quotation will be provided prior to servicing at no charge. Before
returning the unit, please consult a factory IMI applications engineer concerning the situation as certain problems
can often be corrected with simple on-site procedures.
Return procedure
To expedite returned instrumentation, contact a factory IMI applications engineer for a RETURN MATERIAL
AUTHORIZATION (RMA) NUMBER. Please have information available such as model and serial number. Also,
to insure efficient service, provide a written description of the symptoms and problems with the equipment to a
local sales representative or distributor, or contact IMI if none are located in your area.
Customers outside the U.S. should consult their local IMI distributor for information on returning equipment. For
exceptions, please contact the International Sales department at IMI to request shipping instructions and an RMA.
For assistance, please call (716) 684-0003, or fax us at (716) 684-3823. You may also receive assistance via e-

PAGE 12
SENSORS AND INSTRUME
NTATION FOR MACHINE
CONDITION MONITORING
Customer Service
IMI, a division of PCB Piezotronics, guarantees Total Customer Satisfaction. If, at any time, for any reason, you
are not completely satisfied with any IMI product, IMI will repair, replace, or exchange it at no charge. You may
also choose to have your purchase price refunded.
IMI offers to all customers, at no charge, 24-hour phone support. This service makes product or application
support available to our customers, day or night, seven days a week. When unforeseen problems or emergency
situations arise, call the IMI Hot Line at (716) 684-0003, and an application specialist will assist you.
3425 Walden Avenue, Depew, NY 14043-2495
Phone: (716) 684-0003
USA Fax: (716) 684-3823
INTL Fax: (716) 684-4703
ICP®is a registered trademark of PCB Group, Incorporated,
which uniquely identifies PCB sensors that incorporate built-in microelectronics.

Model Number
642A01 4-20 MA OUTPUT VELOCITY SENSOR Revision: F
ECN #: 50726
Performance EN GLISH SI
Measurement Range 0.0 to 1.0 in/sec pk 0.0 to 25.4 mm/s pk [1]
Output 4-20 mA 4-20 mA
Frequency Range(± 10 %) 180 to 60 kcpm 3 to 1 kHz [2][3]
Broadband Resolution 0.005 in/sec pk 0.13 mm/s pk [4]
Non-Linearity ± 1 % ± 1 %
Environmen tal
Temperature Range -40 to 185 °F -40 to 85 °C
Enclosure Rating IP68 IP68
Electrical
Excitation Voltage 12 to 30 VDC 12 to 30 VDC
Settling Time(within 2% of value) < 15 sec < 15 sec
Electrical Isolation(Case) > 108 Ohm > 108 Ohm
Ph ysical
Size (Hex x Height) 7/8 in x 1.41 in 22.2 mm x 35.8 mm
Weight 3.8 oz 108 gm
Mounting Thread 1/4-28 UNF 1/4-28 UNF
Mounting Torque(Stud) 3 to 4 ft-lb 4.1 to 5.4 Nm [5][6]
Mounting Torque(hex nut) 2 to 3 ft-lb 2.7 to 4.1 Nm
Sensing Element Ceramic Ceramic
Sensing Geometry Shear Shear
Housing Material Stainless Steel Stainless Steel
Sealing Welded Hermetic Welded Hermetic
Electrical Connector 2-Pin MIL-C-5015 2-Pin MIL-C-5015
Electrical Connection Position Side Side
Electrical Connections(Pin A) 4-20 mA Pos (+) 4-20 mA Pos (+)
Electrical Connections(Pin B) 4-20 mA Neg (-) 4-20 mA Neg (-)
[7]
All specifications are at room temperature unless otherwise specified.
In the interest of constant product improvement, we reserve the right to change specifications without notice.
ICP® is a registered trademark of PCB Piezotronics, Inc.
EX - Hazardous Area Approval- contact factory for
specific approvals
Hazardous Area Approval DIV II, CL I, GRPS A-D, ExnL,
AExnA, IIC T4 DIV II, CL I, GRPS A-D, ExnL,
AExnA, IIC T4
Hazardous Area Approval EEx ia IIC T4, -40°C≤Ta≤80°C,
II 1 G EEx ia IIC T4, -40°C≤Ta≤80°C,
II 1 G
Hazardous Area Approval EEx nL IIC T4, -40°C≤Ta≤80°C,
II 3 G EEx nL IIC T4, -40°C≤Ta≤80°C,
II 3 G
Hazardous Area Approval DIV I, CL I, II, III, GRPS A-G, Exia,
AExia, IIC T4 DIV I, CL I, II, III, GRPS A-G, Exia,
AExia, IIC T4
M - Metric Mount
Supplied Accessory: Model M080A163A (1)
RV - Buffered Analog Signal Output - 100 mV/g
(±20%)
Electrical Connector 2-Pin MIL-C-5015 2-Pin MIL-C-5015
Electrical Connections(Pin A) 4-20 mA Pos (+) 4-20 mA Pos (+)
Electrical Connections(Pin B) 4-20 mA Neg/Signal Output
Neg 4-20 mA Neg/Signal Output
Neg
Electrical Connections(Pin C) Signal Output Pos Signal Output Pos
OPTION AL VERSION S
Optional versions have identical specifications and accessories as listed for the standard model except
where noted below. More than one option may be used.
NOTES:
[1]Conversion Factor 1 in/sec = 0.0254 m/sec.
[2]1Hz = 60 cpm (cycles per minute).
[3]Current will fluctuate at frequencies below 5 Hz.
[4]Typical value.
[5]1/8" hex Allen key required for English version, 3mm hex Allen key required for metric version.
[6]Stud torque must exceed sensor hex nut torque to ensure proper dismantling.
[7]See PCB Declaration of Conformance PS039 or PS053 for details.
Date: 04/22/2020 Date: 04/22/2020 Date: 04/22/2020 Date: 04/22/2020 26010
Entered: LK Engineer: NJF Sales: MC Approved: NJF Spec Number:
Phone: 800-959-4464
Fax: 716-684-3823
E-Mail: imi@pcb.com
3425 Walden Avenue, Depew, NY 14043
SUPPLIED ACCESSORIES:
Model 080A162 Mounting Stud (1)
Model ICS-4 NIST-traceable single-axis amplitude response calibration from 0 cpm (0 Hz) to upper
10% frequency for 4 - 20 mA output vibration sensor (1)

1
1
2
2
3
3
4
4
A A
B B
CODE
IDENT. NO.
52681
DWG. NO.
SCALE: SHEET
DRAWN CHECKED ENGINEER
TITLE
UNLESS OTHERWISE SPECIFIED TOLERANCES ARE:
DIMENSIONS IN MILLIMETERS
[ IN BRACKETS ]
XX ±0.13
ANGLES 2 DEGREES
3425 WALDEN AVE. DEPEW, NY 14043
(716) 684-0001 E-MAIL: sales@pcb.com
DIMENSIONS IN INCHES
DECIMALS XX ±.01
ANGLES 2 DEGREES
FILLETS AND RADII
.003 - .005
DECIMALS X ± 0.3
FILLETS AND RADII
0.07 - 0.13
INSTALLATION DRAWING
18551
1 OF 1
FULL
MODEL 607 SERIES
XXX ±.005
JDM 10/9/14 ECB 10/9/14 DRK 10/9/14
18551
PCB Piezotronics Inc. claims proprietary rights in
the information disclosed hereon. Neither it nor any
reproduction thereof will be disclosed to others
without the written consent of PCB Piezotronics Inc.
REVISIONS
REV DESCRIPTION DIN
B ADDED METRIC MOUNTING INFORMATION 43341
FIG 1: A 1/8" HEX ALLEN
KEY IS REQUIRED FOR THE ENGLISH
MOUNTING STUD. A 3MM HEX
ALLEN KEY IS REQUIRED FOR THE
METRIC MOUNTING STUD. APPLY
SILICONE GREASE TO ALL MOUNTING
SURFACES (SEE ARROWS FIG 1 & 2)
FIG 2: TIGHTEN THE
MOUNTING STUD USING
THE ALLEN KEY. TORQUE
THE MOUNTING STUD TO
WITHIN 3 TO 4 FT-LBS.
(4.1 TO 5.4 Nm)
FIG 3: THREAD THE SENSOR'S
HEX NUT ONTO THE MOUNTING
STUD. POSITION THE CABLE OR
CONNECTOR TO THE DESIRED
LOCATION AND HAND TIGHTEN
THE HEX NUT.
FIG 4: TIGHTEN THE HEX
NUT USING A TORQUE WRENCH
TO WITHIN 2 TO 3 FT-LBS
(2.7 TO 4.1 Nm) WHILE HOLDING
THE CABLE OR CONNECTOR
IN THE DESIRED LOCATION.
FIG 5: IF FOR ANY REASON THE MOUNTING
STUD DOES NOT
DISENGAGE FROM THE SENSOR, USE A
FLAT HEAD SCREW DRIVER
TO HOLD THE STUD WHILE TURNING THE
HEX NUT COUNTERCLOCKWISE
WITH A WRENCH.
SILICONE GREASE
SILICONE GREASE
2
METRIC MOUNTING HOLE PREPARATION:
DRILL Ø.199[Ø5.05] .300[7.62] MIN
TAP M6 X 1-6g .200[5.08] MIN
ENGLISH MOUNTING HOLE PREPARATION:
DRILL Ø.218[Ø5.54] .300[7.62] MIN
TAP 1/4-28 UNF-2B .200[5.08] MIN
1
3.) FOR BEST RESULTS, PLACE A THIN LAYER OF SILICONE GREASE (DOW CORNING #4 OR EQUIVALENT) ON
INTERFACE PRIOR TO MOUNTING.
MOUNTING SURFACE SHOULD BE FLAT TO WITHIN .001[0.03] TIR WITH A MINIMUM 63 [1.6 ] FINISH FOR BEST RESULTS.
DRILL PERPENDICULAR TO MOUNTING SURFACE TO WITHIN ±1°
1
2
1

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