Question

A wheel rotating at a speed of $600rpm$ (revolution per minute) about its axis is brought to rest by applying a constant torque for $10$ seconds. Find the angular deceleration and the angular velocity $5$ seconds after the application of the toque.

Answer 1

Given:

The speed of rotation of the wheel is $600rpm$

The wheel is brought to rest in $10s$

We know that,

$600rpm=\frac{600}{60}=10revpersec$

$\omega$ after 10 sec will be 0.

So, using the expression:

$\omega ={\omega }_0+\alpha t$

And$\alpha =-\frac{{\omega }_0}{t}=-\frac{10}{10}=-1rev/s^2$

So, $\omega =10-1\times 5=10-5=5rev/sec$