Aflywheel in the form of a uniformly thick disk of radius 1.33 m1.33 m has a mass of 70.6 kg70.6 kg and spins counterclockwise at 217 rpm217 rpm . calculate the constant torque required to stop it in 2.75 min2.75 min .

The constant torque required to stop the disk is 8.6 N-m in clockwise direction .

Explanation:

Let counterclockwise be positive direction and clockwise be negative direction .

Given

Radius of disk , r = 1.33 m

Mass of disc , m = 70.6 kg

Initial angular velocity ,

Final angular velocity ,

Time taken to stop , t = 2.75 min

Let  be the angular acceleration

We know

=>

=>

Torque required to stop is given by

where  moment of inertia ,

=>

Thus the constant torque required to stop the disk is 8.6 N-m in clockwise direction .