Rotational Motion Question 1

Question 1 - 2024 (01 Feb Shift 1)

A ball of mass $0.5 kg$ is attached to a string of length $50 cm$. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 N$. The maximum possible value of angular velocity of the ball in $rad / s$ is,:

(1) 1600

(2) 40

(3) 1000

(4) 20

Show Answer

Answer: (2)

Solution:

$T=m \omega^{2} \ell$

$400=0.5 \omega^{2} \times 0.5$

$\omega=40 rad / s$.