Aflywheel in the form of a uniformly thick disk of radius 1.93 m has a mass of 92.1 kg and spins counterclockwise at 419 rpm. calculate the constant torque required to stop it in 1.25 min.

Torque = 99.48 N-m²

Explanation:

It is given that,

Radius of the flywheel, r = 1.93 m

Mass of the disk, m = 92.1 kg

Initial angular velocity,

Final angular speed,

We need to find the constant torque required to stop it in 1.25 min, t = 1.25 minutes = 75 seconds

Torque is given by :

...........(1)

I is moment of inertia, for a solid disk,

is angular acceleration

..............(2)

Now finding the value of angular acceleration as :

..........(3)

Using equation (2) and (3), solve equation (1) as :

So, the torque require to stop the flywheel is 99.48 N-m². Hence, this is the required solution.

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