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Tol-O-Matic System Compatibility - Industrial and Bearing Supplies

Tol-O-Matic System Compatibility - Industrial and Bearing Supplies

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Symbols:<br />

e = lead screw or belt<br />

efficiency<br />

e′ = reduction efficiency<br />

F T = total friction force (lbs.)<br />

F EXT. = force to do external work (lbs.)<br />

J LOAD = load inertia (oz.-in. 2 )<br />

J LS = lead screw inertia (oz.-in. 2 )<br />

J MOTOR = motor inertia (oz.-in. 2 )<br />

J RD = reduction device inertia (oz.-in. 2 )<br />

J WHEELS = bolt drive & idler wheel inertia (oz.-in. 2 )<br />

Ø = angle of load from horizontal (degrees)<br />

input motor rpm<br />

m = reduction ratio = =<br />

output screw shaft rpm<br />

p = pitch of screw (rev./in.)<br />

r = radius of belt drive wheel (in.)<br />

t a = acceleration time (sec.)<br />

T ACC = required torque to accelerate the load (oz.-in.)<br />

T BREAKAWAY = breakaway torque (oz.-in.)<br />

T EXT. = required torque to overcome external force (oz.-in.)<br />

T FRICTION = required torque to overcome friction (oz.-in.)<br />

T GRAVITY = required torque to overcome gravity (oz.-in.)<br />

T MOTOR = motor output torque at desired speed (oz.-in.)<br />

T PRELOAD = torque required to overcome loading of carrier<br />

bearings <strong>and</strong> tension on screw or belt<br />

T TOTAL = required torque to move the load (oz.-in.)<br />

µ = coefficient of static friction linear bearing system<br />

V M = maximum linear velocity (in./sec.)<br />

ω = angular velocity (rad./sec.)<br />

W OTHER = weight of carriage or weight of top axis (lbs.)<br />

W LOAD = weight of load (lbs.)<br />

SCREW EFFICIENCY (e)<br />

FORM Single Nut A/L Nut*<br />

Acme 0.60 0.50<br />

Ball 0.90 0.85<br />

*A is Antibacklash Acme, L is Low Backlash Ball<br />

ENGINEERING RESOURCES<br />

147

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