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Rotational kinematics and grinding wheel

  1. Jan 31, 2004 #1
    i've been doing some physics problems out of the text and I was wondering: If an electric fan were to be turned off and you knew its angular acceleration, it is possible to find the number of revolutions it makes in a certain time interval?

    also, i having a difficult time with this problem.

    At t=0 a grinding wheel has an angular velocity of 22. rad/s. It has a constant angular acceleration of 32. rad/s^2 until a circuit breaker trips at time t=1.7 s. From then on, it turns through an angle 433. rad as it coasts to a stop at constant angular acceleration.
    I was able to find the total angle the wheel had turned between t=0 to the time it comes to a rest to be 516.64 rad, but now i have to find at what exact time it comes to a stop.. any pointers and tips are greatly appreciated.

  2. jcsd
  3. Jan 31, 2004 #2


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    1. find the rotation speed when the breaker tripped (Wf = Wi + a*t)
    2. find the deceleration from when breaker tripped (Wf^2 = Wi^2 + 2ad)
    3. find the time it took took to decelerate (d = Wi*t + (1/2)a*t^2)

    That should work.
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