Question #92227

1 Answer
Mar 21, 2017

Answer:

The torque is #=18816Nm#

Explanation:

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#