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Circular motion

  1. Mar 6, 2010 #1
    1. The problem statement, all variables and given/known data
    A 4.80 g coin is placed 11.0 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of us = 0.770 and uk = 0.400.

    What is the maximum angular velocity with which the turntable can spin without the coin sliding? (In rad/s)

    2. Relevant equations

    Ff = FN(u)
    Fa = (mv^2)/r

    3. The attempt at a solution

    I've always been a little foggy on rotational motion, but for this I converted the grams to kilograms and the centimeters to meters, then set the friction equal to the acceleration:

    (.0048)(9.8)(.77) = [(.0048)(v^2)]/.11

    Which gave me a v of .911 rad/s. I'm not sure what I did wrong/what I'm missing.
     
  2. jcsd
  3. Mar 6, 2010 #2

    rock.freak667

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    Homework Helper

    the 'v' you get is the linear velocity, you need to use ω=v/r to get the angular velocity.

    (Note: I did not check your answer to see if that is what you did, but your response implied that you put 'v' as the angular velocity)
     
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