A flywheel of mass 188 kg has aneffective radius of 0.64 m (assume themass is co

Question

A flywheel of mass 188 kg has aneffective radius of 0.64 m (assume themass is concentrated along a circumference located at the effectiveradius of the flywheel). What torque is required to bring thiswheel from rest to a speed of 118 rpm in atime interval of 30.9 s? (in N m) How much work is done during the 30.9 seconds? A flywheel of mass 188 kg has aneffective radius of 0.64 m (assume themass is concentrated along a circumference located at the effectiveradius of the flywheel). What torque is required to bring thiswheel from rest to a speed of 118 rpm in atime interval of 30.9 s? (in N m) How much work is done during the 30.9 seconds?

Explanation / Answer

       Given that the mass ofwheel is m = 188kg        Radius of wheel is R= 0.64 m         Initial angularvelocity is 1 = 0 rad/s         final angularvelocity is 2 =  118rpm =12.35 rad/s        time taken is t =30.9s --------------------------------------------------------------------------------------------         torque is =I                         = (mR2)(2-1)/t                          =-------- N.m      The angular accelaration is =(2-1)/t                                                  =--------rad/s2        The angular diplacement for the timeis = 1*t +(1/2)t2                                                                   = -------- rad        The work done is                                W = *                                =---------- J                                                                      = -------- rad        The work done is                                W = *                                =---------- J   

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