A ball of mass \(0.5 \mathrm{~kg}\) is attached to a string of length \(50 \mathrm{~cm}\). The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is \(400 \mathrm{~N}\). The maximum possible value of angular velocity of the ball in rad/s is _______.

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Answer & Solution

Correct Answer

(B) \(40\)

Step-by-step Solution

Detailed explanation

\(\mathrm{T}=\mathrm{m} \omega^2 \ell\)

\(400=0.5 \omega^2 \times 0.5\)

\(\omega=40 \mathrm{rad} / \mathrm{s} .\)

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