Angular Acceleration of Bicycle Wheels

  1. 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
     
  2. jcsd
  3. cepheid

    cepheid 5,194
    Staff Emeritus
    Science Advisor
    Gold Member

    Your method seems good to me
     
  4. Thank you :)
     
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