Question

The dimensional formula for the time rate of change of angular momentum is same as that of __________.

Answer 1

 M¹L²T⁻².................................................

Answer 2

Answer:

The dimensional formula for the time rate of change of angular momentum is the same as that of torque.

Explanation:

The angular momentum is given as,

$L=I\omega$            (1)

Where,

L=angular momentum of the body

I=moment of inertia of the body

ω=angular velocity

As per the question, equation (1) can also be written as,

$\frac{L}{t} =\frac{I\omega}{t}$

$\frac{L}{t} =I\alpha$            (2)      ($\alpha=\frac{\omega}{t}$)

Also, torque(τ) is given as,

$\tau=I\alpha$           (3)

By comparing equations (2) and (3) we can say that the dimensional formula for the time rate of change of angular momentum is the same as that of torque.