Question

On the basis of above paragraph, find the relation between angular momentum and torque :

• A. $\tau △\theta =J$
• B. $\tau =\int Jd\theta$
• C. $\int \tau \cdot dt=J$
• D. $\int J\cdot dt=\tau$

Answer 1

The correct option is C $\int \tau \cdot dt=J$

$\tau =I\alpha =\frac{d\overrightarrow{L}}{dt}$

We know that from newton's law

The change in angular momentum of a body is directly proportional to torque.

$\tau =\frac{d}{dt}J$

Hence, Option (C) is correct choice.