Question

A flywheel rotates at a costant speed of $3000$ rpm. How much time will it take to describe the angle of 100$\pi$ rad?

• A. $0.5\text{s}$
• B. $4\text{s}$
• C. $1\text{s}$
• D. $2\text{s}$

Answer 1

The correct option is C $1\text{s}$

We know that,

$\omega =\frac{2\pi N}{60}$, $N$ is revolutions per minute.

$\omega =\frac{2\pi \times 3000}{60}=100\pi$
Time taken to describe an angle of $100\pi \text{rad}$ is
$t=\frac{\theta }{\omega }=\frac{100\pi }{100\pi }=1\text{s}$