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Homework Help: Circular Motion

  1. Sep 29, 2006 #1
    Hello again, tonite I am working on more homework and I am stuck on a problem involving circular motion. Here's the question:

    Q: A 24 kg child takes a ride on a fast Ferris wheel that rotates 4.5 times each minute and has a diameter of 19 m. (a) What is the centripetal acceleration of the child?

    Ok so I would start out by turning 4.5 rev/min into rad/sec:

    4.5 rev/min x [tex]\frac {1 min}{60 sec}[/tex] x [tex]\frac{2 \pi rad}{1 rev}[/tex] = [tex].3\pi \frac{rad}{sec}[/tex]

    Then R = 9.5m

    [tex]a_c[/tex]=[tex]\omega^2[/tex]R

    [tex]a_c[/tex]=[tex]9.5(.3\pi)^2[/tex]

    [tex]a_c[/tex] ended up being 8.44 m/s for me.

    Is there something I'm doing wrong?
     
  2. jcsd
  3. Sep 29, 2006 #2
    4.5 rev/min = 3pi/20 rad/sec
     
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