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

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MOTION PROFILE EQUATIONS<br />

Triangle Move Profile<br />

VELOCITY (in./sec.)<br />

V max<br />

V avg<br />

t a<br />

T (time in sec.)<br />

X (distance in in.)<br />

X<br />

V max<br />

= 2 V avg<br />

= 2<br />

T<br />

X<br />

t a<br />

= t d<br />

=<br />

T<br />

V max<br />

A = D = =<br />

T<br />

4X<br />

T 2<br />

t d<br />

Trapezoidal Move Profile<br />

V max<br />

VELOCITY (in./sec.)<br />

Assume:<br />

t a<br />

= t c<br />

= t d<br />

=<br />

Then:<br />

V max<br />

=<br />

t a<br />

T<br />

3<br />

1.5 X<br />

T<br />

A = D = 4.5 X<br />

T 2<br />

t c<br />

T (time in sec.)<br />

X (distance in in.)<br />

t d<br />

ENGINEERING RESOURCES<br />

T = total move time (sec.)<br />

X = total move distance (in.)<br />

A = acceleration rate (in./sec. 2 )<br />

D = deceleration rate (in./sec. 2 )<br />

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

t d = deceleration time (sec.)<br />

t c = constant velocity time (sec.)<br />

V avg = average velocity (in./sec.)<br />

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

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