Question #92227

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Answer 1 · 2017-03-21T10:23:58

The torque is $=18816Nm$

The torque is the rate of change of angular momentum

$tau=(dL)/dt=(d(Iomega))/dt=I(domega)/dt$

The moment of inertia of a circular disc is

$I=1/2*mr^2$

$=1/2*2800*28^2= 1097600 kgm^2$

The rate of change of angular velocity is

$(domega)/dt=0.24/14=0.0171rads^-2$

So the torque is $tau=1097600*(0.0171) Nm=18816Nm$