Question

An insect trapped in a circular groove of radius 12 cm moves along the groove steadily and complete 8 revoluation in 100s,then angular velocity of insect is equal to

• A. 0.44 rad/s
• B. 0.50 rad/s
• C. 0.66 rad/s
• D. 0.77 rad/s

Answer 1

The correct option is A 0.44 rad/s

Frequency of revolution of insect$=$ No. of revolution completed in $1$

$n=\frac{7}{100}=0.07s^{-1}$

Radius$=12cm=0.12m$

Angular velocity$\omega =2\pi n=2\times \frac{22}{7}\times 0.07=0.44rad/s$