Question

Angular velocities of two bodies rotating in same direction are given by ${\omega }_1$ = 30 rad/sec. ${\omega }_2$ = 60 rad/sec, the relative angular velocity of $2^{nd}$ body with respect to $1^{st}$ body is

• A. 30 rad/sec
• B. 40 rad/sec
• C. 50 rad/sec
• D. 60 rad/sec

Answer 1

The correct option is A

30 rad/sec

$\overrightarrow{{\omega }_1}=\left(30rad/s\right)\hat{n};\overrightarrow{{\omega }_2}=\left(60rad/s\right)\hat{n}$
$\therefore {\omega }_{\frac{2}{1}}={\omega }_1+{\omega }_2$
=60-30
=(30 rad/s)$\hat{n}$