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How far have u gone on the stationary bike?

  1. Oct 22, 2006 #1
    Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 10.4 rad/s. The wheel has a radius of 0.507 m. If you ride the bike for 42.6 min, how far would you have gone if the bike could move?

    ok here is what i know

    my W (angular speed) is 10.4 rad//s
    Radius = 0.507 m
    time = 42.6 min x 60 sec = 2556 sec

    I tried to use this equation

    theta = 1/2 (w0 + w )t and I got a value of 13291.2 radians can I use this value to find the distance, or am I doing something wrong?

  2. jcsd
  3. Oct 22, 2006 #2

    Andrew Mason

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    Science Advisor
    Homework Helper

    You have to the relationship between the angular speed and tangential velocity. If you assume that there is no slippage between the wheel and the road, then velocity x time = distance. Do you know how [itex]\omega[/itex] is related to v and R?

  4. Oct 22, 2006 #3
    ya I figured it out.

    Thanks a lot
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