Question

An external device supplies constant power to a rotating system by applying a torque $\tau$. The angular velocity of system varies with torque $\tau$ as $(\omega \propto )$

• A. $\tau$
• B. $\frac{1}{\tau }$
• C. $\sqrt{\tau }$
• D. $\frac{1}{\sqrt{\tau }}$

Answer 1

Answer: (B)

$\frac{1}{\tau }$

Power is given by $P=\tau \omega$. Thus for constant power $\omega \propto \frac{1}{\tau }$