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An automobile accelerates from zero to 30 m/s in 6 seconds. The wheels have a diameter of 0.4 m. What is the angular acceleration of each wheel?
a = v/t = 30/6 = 5 m/s^2
r=diameter/2 = 0.4/2 = 0.2 m
alpha = a/r = 5/0.2 = 25 (rads/s^2)