Search: A person is riding a bicycle, the wheels of a bicycle have an angular velocity of +18.0 rad/s. Then, the brakes are applied. In coming to rest, each wheel makes an angular displacement of +11.0 revolutions.

Question

How much time does it take for the bike to come to rest?

What is the angular acceleration of each wheel?

Answer 1

Time to stop = (angular displacement)/(average angular velocity)
= 11*2*pi rad/(9.0 rad/s) = 7.68 s

Angular acceleration
= -(18 rad/s)/(7.68 s)
= -2.34 rad/s^2