Angular Acceleration of Bicycle Wheels

rustyshackle

1. The problem statement, all variables and given/known data
A wheel has bicycle of diameters 109.0 cm. The bicyclist accelerates from rest with constant acceleration to 16.3 km/hr in 16.5 s. What is the angular acceleration of the wheels?



2. Relevant equations

w=v/r
alpha= w/t


3. The attempt at a solution

I think I'm doing it right, however, I was hoping someone might check my logic

First I convert diameter 109 cm to radius .545 m and 16.3 km/hr to 4.527 m/s.

I solve for w using linear speed divided by r = 4.527/.545 = 8.3078 rad/s

Solve for alpha using a = (wf-wi)/t = (8.3078-0)/16.5 s = .5035 rad/s^2

cepheid

Your method seems good to me