A string of length ' ell ' fixed at one end c | vedclass

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(B) The frequency of revolution is $f = \frac{3}{\pi} 	ext{ rev/s}$.The angular velocity is $\omega = 2\pi f = 2\pi \left( \frac{3}{\pi} ight) = 6

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$36 m \ell$

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(B) The frequency of revolution is $f = \frac{3}{\pi} 	ext{ rev/s}$.The angular velocity is $\omega = 2\pi f = 2\pi \left( \frac{3}{\pi} ight) = 6 	ext{ rad/s}$.For a conical pendulum,the tension $T$ in the string is given by the centripetal force equation $T \sin 	heta = m \omega^2 r$ and the vertical balance $T \cos 	heta = mg$.However,in the limit where the angle $	heta$ is small,or considering the radial component of tension providing the centripetal force,we have $T = m \omega^2 \ell$ if we assume the string is horizontal,but generally $T \cos 	heta = mg$ and $T \sin 	heta = m \omega^2 (\ell \sin 	heta)$.Thus,$T = m \omega^2 \ell$.Substituting the values: $T = m (6)^2 \ell = 36 m \ell$.

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