Concept of Torque#!#Moment of Inertia

Torque/moment of inertia equals to

Establish a relation between torque and moment of inertia of a rigid body.

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Are there any physical quantities out of the following which have the same dimension? If yes, identify them. Impulse, Torque, Angular momentum, Energy, Force Moment of inertia

Compute the torque acting on a wheel of moment of inertia 10kgm^(2) , moving with angular acceleration 5 rad s^(-2) .

The relation between the torque tau and angular momentum L of a body of moment of inertia I rotating with angular velocity omega is

Statement -1 : Torque is equal to rate of change of angular momentum . Statement -2: Angular momentum depends on moment of inertia and angular velocity.

A grindstone of moment of inertia 6 kg m^(2) is found to have a speed of 150 rpm, 10 sec . After starting from rest. Torque applied is

Calculate the angular acceleration produced in a grind stone of moment of inertia 3 kg m^(2) under the action of a torque of 3 pi N -m .