Question

A ball experiences a centripetal acceleration of constant magnitude $9m/s^2$ when it moving in circular path of radius $0.25$ m. Calculate the angular speed of ball if mass is $0.5$ kg.

• A. 2.3 rad/s
• B. 4.5 rad/s
• C. 6 rad/s
• D. 12 rad/s
• E. Cannot be determined from the information given

Answer 1

The correct option is C 6 rad/s

The centripetal acceleration, $v^2/r=9$ or $v^2=9r=9\left(0.25\right)$ or $v=1.5m/s$

Also, $v=\omega r$

so angular speed, $\omega =v/r=1.5/0.25=6$ rad/s