Angular Acceleration of Bicycle Wheels

[rustyshackle]

Homework Statement

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?

Homework Equations

w=v/r
alpha= w/t

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

 

[sakib1507]

Thank you :)