1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Rotational motion problem

  1. Nov 5, 2012 #1
    1. The problem statement, all variables and given/known data
    A rolling wheel moving to the right initially has an angular speed of 7.0 rad/s but after making 3
    complete revolutions the wheel has a final angular speed of 11.0 rad/s. What is the magnitude and direction of the average angular acceleration of the wheel?

    2. Relevant equations
    (w2-w1)/(t2-t1) or maybe I need to use that equation and some rotational kinematics equations, not positive.

    3. The attempt at a solution
    I tried saying my time was 3 seconds but I am having trouble identifying the time. Not really sure where to start with this problem.
  2. jcsd
  3. Nov 5, 2012 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    The wheel makes 3 complete revolutions ... so the angular displacement is:
    You are right, you need kinematics. You know initial velocity, final velocity, and displacement: what is the equation that gives you the acceleration (hint: it does not have time in it)?
  4. Nov 5, 2012 #3
    Awesome ty,

    11^2 = 7^2 +2a(6pi)
    a = 6pi
  5. Nov 6, 2012 #4
    New question, well a continuation question:

    For the speeds given in problem #6 above, what is the ratio of the wheel‟s final angular
    momentum to the initial angular momentum?

    L = rmvsin(theta)

    I know the answer is 1.6 which is 11/7 however, I am not sure why that is. The question gave me a change in theta of 6pi and two speeds. Okay, so wouldn't dividing the speeds give you the ratio of the initial speed and final speed, not the momentum? Or is the speed also the momentum? I am confused.
  6. Nov 6, 2012 #5


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Not quite. Try that last step again.
    angular momentum = moment of inertia * angular velocity, right?
    Has the moment of inertia changed?
  7. Nov 7, 2012 #6

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    It helps to do the algebra before subbing in the numbers. So you are starting from: ##\omega_f^2=\omega_i^2+2\alpha\theta## and you want to solve for ##\alpha##.

    The whole exercise is trying to get you to think in terms of angular thingies. So momentum is "normally" ##p=mv##, and the "initial momentum" would be written ##p_i=m_iv_i## but if the mass does not change you just write ##p_i=mv_i## ... so, in angular stuff, it is: ##L=I\omega## ...

    Remember to do the algebra before subbing in the numbers: - what is ##L_f/L_i##?
  8. Nov 7, 2012 #7
    So, Lf = IWf and Li = IWi? So, IWf/IWi = Wf/Wi?
  9. Nov 7, 2012 #8

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    Well done!

    When a physics question asks for "the ratio between a and b" they usually want a/b.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook