Question

show that rate of change of angular momentum is equal to torgue​

Answer 1

If a net force act on an object it must accelerate, which means it s in momentum must be change. Similarly if a net torque acts on a body it undergoes angular acceleration, which means its angular momentum changed. It is known as angular momentum magnitude. and it is denoted by L.

                                  L  =  mvr   (Where v and r is perpendicular on each other)

So torque is the rate of change of angular momentum.