Question

What is the angular velocity in $\text{rad/s}$ of a wheel making $1200$ revolutions in $50$ minutes ?

• A. $0.3\pi$
• B. $0.5\pi$
• C. $0.4\pi$
• D. $0.8\pi$

Answer 1

The correct option is D $0.8\pi$

We know that,
Since 1 revolution corresponds to $2\pi \text{rad}$

$\omega =\frac{(1200\times 2\pi )}{(50\times 60)}=\frac{4\pi }{5}=0.8\pi \text{rad/s}$
Hence option (d) is correct