# [SOLVED] Rotating Wheels

Since they're gears, the length of the arc on the smaller gear will be equal to the length of the arc on the larger gear. The arc length for the smaller gear is $\frac{60}{360}2\pi(5.23cm)$. Let x be the number of degrees the larger gear rotates and make a similar expression. If you set them equal, you'll cancel a whole bunch and the answer should come pretty easy. You should get something less than 60 degrees.