# If I, a and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity w, then   Option 1) t = Ia Option 2) t = Iw Option 3) I = tw Option 4) a = Iw

As we learnt in

Analogue of second law of motion for pure rotation -

$\vec{\tau }=I\, \alpha$

- wherein

Torque equation can be applied only about two point

(i) centre of motion.

(ii) point which has zero velocity/acceleration.

$\tau=I \alpha$

$\alpha=a$

$t=\tau$

$t=Ia$

Option 1)

t = Ia

This option is correct.

Option 2)

t = Iw

This option is incorrect.

Option 3)

I = tw

This option is incorrect.

Option 4)

a = Iw

This option is incorrect.

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