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Wheel A of radius ra = 13.9 cm is coupled by belt B to wheel C of radius rc = 34.3 cm. Wheel A increases its angular speed from rest at time t = 0 s at a uniform rate of 5.7 rad/s2. At what time will wheel C reach a rotational speed of 168.2 rev/min, assuming the belt does not slip?

  • Physics - ,

    The product of rotational speed and radius is the same for each wheel. So is the product of angular acceleration and radius. Use those facts to deduce the time required.

  • Physics? - , for c: v = w*r = 168.2*0.343m =57.6926
    and therefore for a: w = v/r = 57.6926/0.139m = 415.055
    is that correct?

    and for the acceleration:
    for a: a= 5.7*0.139 = 0.7923
    and for c: 0.7923/0.343 = 2.3099

    but how do I get time ??

  • Physics - ,

    I thought I told you that before.
    To get the time, divide the angular velocity change by the angular acceleration

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