Question

Derive an expression for relation between torque and moment of inertia

Answer 1

let torque be =å.
We know that the derivative of angular momentum w.r.t is torque.
So let angular momentum=A.
now, d(A)/dt=å.
now we know that, A=Iw,where I and w are the moment of inertia and w=angular velocity.
So, d(w)/dt=@,where @=angular acceleration.
Hence, t=I@.