Since the velocities of the rims are equal at the point of contact, the angular velocities are inversely proportional to the radii. The same applies to the angular acceleration rates.
use that fact to answer the questions yourself
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the pottery wheel (radius 27.0 cm) without slipping.
(1) Calculate the angular acceleration of the pottery wheel.
(2) Calculate the time it takes the pottery wheel to reach its required speed of 59 rpm.
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