Angular Acceleration of Bicycle Wheels

AI Thread Summary
The discussion focuses on calculating the angular acceleration of bicycle wheels given a diameter of 109 cm and a constant acceleration to a speed of 16.3 km/hr over 16.5 seconds. The diameter is converted to a radius of 0.545 m, and the speed is converted to 4.527 m/s. The angular velocity is calculated as 8.3078 rad/s by dividing the linear speed by the radius. The angular acceleration is then determined to be 0.5035 rad/s² using the formula for angular acceleration. The calculations and method used in the solution are confirmed as correct.
rustyshackle
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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
 
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Your method seems good to me
 
Thank you :)
 

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