First slide

Dynamics of rotational motion about fixed axis

Question

An external device, e.g., an electric motor, supplies constant power to a rotating system, e.g., a flywheel, through a torque $τ$ . The angular velocity of the system is ω. Both $τ$ and ω are variable

Easy

A

$\omega \propto \tau$
B

$\omega \propto \frac{1}{\tau }$
C

$\omega \propto \sqrt \tau$
D

$\omega \propto \frac{1}{{\sqrt \tau }}$

Solution

power $\large P=\tau\;\omega$ = Constant.

$\large \therefore\;\omega\propto\;\frac{1}{\tau}$

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