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posted by  Kare-B on 11/4/2009 11:09:57 PM  |  status: Closed  |  Earned Karma: 35

Physics Help

Course Textbook Chapter Problem Needs by
General Physics Physics (7th) by Cutnell, Johnson N/A N/A 11/7/2009 at 12:00:00 PM
Question Details:
A wheel 40.0 cm in diameter accelerates uniformly from 235 rpm to 385 rpm in 7.5 s. How far will a point on the edge of the wheel have traveled in this time?

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posted by Paul_smith on 11/5/2009 6:53:30 AM  |  status: Live
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Response Details:
Angle through which the wheel has rotated 

   θ = ( ωo + ω ) t / 2 

  ωo =  (235 rev/ min )( 2π rad /rev) (1 min /60 min)

  ω =  (385 rev/ min )( 2π rad /rev) (1 min /60 min) 

  t = 7.5s 

  θ = = 243.4734 rad 

  distance moved in the time given 

        X = R  θ 

            = (243.4734 rad ) 40cm 

            = 9738.9372 cm 

            = 97.3893m 

            ˜98m 
   
   
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