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Rolling Wheel / quick question -- Linear and Angular Velocity

  1. Dec 10, 2014 #1
    1. The problem statement, all variables and given/known data
    Which statement concerning a wheel undergoing rolling motion is true
    (a) The angular acceleration of the wheel must be zero m/s2.
    (b) The tangential velocity is the same for all points on the wheel.
    (c) The linear velocity for all points on the rim of the wheel is non-zero.
    (d) The tangential velocity is the same for all points on the rim of the wheel.
    (e) There is no slipping at the point where the wheel touches the surface on which it is rolling


    2. Relevant equations


    3. The attempt at a solution

    Answer is E
    but why not C? this wheel is in angular velocity so that does mean that linear velocity is zero?
     
  2. jcsd
  3. Dec 10, 2014 #2
    No isn't the linear velocity of the wheel just the motion of the center of the wheel. All points on the rim of the wheel don't move linearly right? Am I wrong?
     
  4. Dec 10, 2014 #3

    haruspex

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    At a given instant, consider the point that is in contact with the ground. Does it have any velocity? If so, which way?
    That's the linear velocity of the wheel as a whole, but each bit of the wheel has its own instantaneous linear velocity.
     
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