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March 26, 2017

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A 41.0 cm diameter wheel accelerates uniformly from 86.0 rpm to 342.0 rpm in 3.4 s. How far (in meters) will a point on the edge of the wheel have traveled in this time?

  • Physics - ,

    Circumference=pi*D = 3.14 * 41=128.8 cm=
    1.288 m.

    Vo = (86rev/min)*1min/60s*1.288m/rev =
    1.85 m/s.
    V = (342/86) * 1.85 = 7.34 m/s

    a=(V-Vo)/t = (7.34-1.85)/3.4=1.61 m/s^2

    d =Vo*t + 0.5*a*t^2
    d=1.85*3.4 + 0.5*1.61*(3.4)^2= 15.6 m.

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