A cyclist travelling at 5.0 m/s uniformly accelerates up to 10.0 m/s in 2.0 sec. Each tire of the bike has a radius of 35 centimeter, and a small pebble is caught in the tread of one of them.
(a) Calculate the angular acceleration of the pebble during those 2 seconds?
(b) Find through what angle does the pebble revolve?
(c) Find how far around the wheel does the pebble travel during the accelerating interval?