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rack and pinion system

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There is some web sites which permits you to calculate rack and pinion and other kind of moving part linear systems. HAve a googlew search for rack & pinion calculation and I am pretty sure you will find it. But wht I do not understand is the loads and all other info about the machine weight and reductions.....
 
I think it would be based on the arc length formulas. i.e, s = rθ

s=arc length
r = radius
θ = is the angle in radians.

example circumference of a 2" circle is PI* d = 3.14 *2 = 6.28
s = 1 * (360 deg) (360 deg = 6.283 radians)
s = 1 * 6.283

You get the same answer calculating the arc length of 360 degrees. radians is a unitless unit. There are 2*PI radians in 360 degrees.
 
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