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Rotational Motion - Finding Linear Distance

  1. Nov 8, 2007 #1
    1. The problem statement, all variables and given/known data

    A 45.0 cm diameter wheel accelerates uniformly from 205 rpm to 385 rpm in 7.5 s. How far will a point on the edge of the wheel have traveled in this time?

    2. Relevant equations

    w=omega
    v=initial omega
    a=angular acceleration
    r=radius
    h=theta
    t=time
    s=distance traveled.

    w^2=v^2 + 2ah
    a=(w-v)/t
    h=s/r

    3. The attempt at a solution

    So, I converted 205 rpm and 385 rpm to rad/s. Then I found angular acceleration by using the formula: a=(w-v)/t. Then I plugged everything into the equation: w^2=v^2 + 2ah and solved for h(theta). Then I converted h(theta), which was in radians, to meters by multiplying it by the radius because h(theta)=s/r. Apparently that's the wrong way though, so if anyone could help me out, I'd love him/her forever. Thank you!
     
  2. jcsd
  3. Nov 8, 2007 #2

    hage567

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    Homework Helper

    Can you show your calculations? It's much easier to track down an error that way.
     
  4. Nov 9, 2007 #3
    Actually, I figured out how to do it. Thanks anyway!
     
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