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Industrial Engineering

How do you convert degree of rotation into mm?


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October 09, 2008 3:37PM

Degrees of rotation does not convert directly to millimeters so the question in its current form has no answer. However, if the question is, "Given a known radius measured in millimeters and given a known angle in radians how do you find the length of the arc formed?" then the answer is:

s = rθ


s = the length of the arc

r = the radius in question

θ = the known angle


radius = 20mm

θ = 0.52 radians (30 degrees)

s = (20)*(0.52) = 10.47mm

If your θ is in degrees then the formula s = rθ will look like this:

s = rθ*pi/180