Tol-O-Matic System Compatibility - Industrial and Bearing Supplies
Tol-O-Matic System Compatibility - Industrial and Bearing Supplies
Tol-O-Matic System Compatibility - Industrial and Bearing Supplies
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BASIC SIZING EQUATIONS<br />
NOTE: USE TOL-O-MOTION SIZING & SELECTION SOFTWARE AND AVOID THE NEED FOR THESE EQUATIONS<br />
Screw-Drive Torque: Required By Motor:<br />
= T ACC + T FRICTION + T PRELOAD + T GRAVITY + T EXT.<br />
ω J<br />
T LOAD<br />
(<br />
m<br />
) ( ACC =<br />
+ J m<br />
) LS + J RD + J<br />
386<br />
MOTOR<br />
e e′ e′<br />
T TOTAL<br />
(oz.-in.)<br />
(oz.-in.)<br />
ENGINEERING RESOURCES<br />
J LOAD<br />
(reflected)<br />
J LS<br />
(reflected)<br />
J MOTOR<br />
J RD<br />
(reflected)<br />
ω<br />
Continues<br />
W<br />
= LOAD<br />
+ W OTHER<br />
(<br />
16 oz.<br />
) (<br />
1<br />
)<br />
(2πp) 2<br />
lb. m 2 (oz.-in. 2 )<br />
=<br />
2πpV M<br />
(rad/sec)<br />
Lead Screw Inertia vs. Length<br />
(for 1/4", 3/8", 1/2", 5/8" <strong>and</strong> 3/4" Dia. Screws)<br />
Screw Dia. Inertia<br />
=<br />
1/4" 0.0017 oz•in 2 per inch of screw<br />
1<br />
3/8" 0.0087 oz•in x<br />
per inch of screw<br />
1/2" 0.0275 oz•in m 2<br />
per inch of screw<br />
(oz.-in. 2 )<br />
5/8" 0.0671 oz•in 2 per inch of screw<br />
3/4" 0.139 oz•in 2 per inch of screw<br />
NOTE: Be sure to use TOTAL screw length,<br />
including dead length.<br />
=<br />
See Inertia in Motor Section<br />
(This will be an iterative process since the actual motor torque is unknown at (oz.-in. 2 )<br />
this point)<br />
= See Inertia for Reduction Device<br />
(oz.-in. 2 )<br />
T a<br />
( )<br />
143
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