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Q.

A 8 Kg block is suspended from the ceiling of an elevator by a string having linear mass density 0.02 Kg/m. The elevator is going up with an acceleration of 2 ms^-2. Find the time(in ms) needed for a wave pulse to travel from the block to the ceiling of the elevator if the length of the string is 1.2 m.

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answer is 17.

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Detailed Solution

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$\begin{array}{l} v = \sqrt{\frac{ϝ}{μ}} = \sqrt{\frac{m (g + a)}{μ}} = \sqrt{\frac{96}{0.02}} = 69.3 {ms}^{- 1} \\ t = \frac{l}{v} = \frac{1.2}{69.3} = 0.017 s = 17 ms \end{array}$

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A 8 Kg block is suspended from the ceiling of an elevator by a string having linear mass density 0.02 Kg/m. The elevator is going up with an acceleration of 2 ms-2. Find the time(in ms) needed for a wave pulse to travel from the block to the ceiling of the elevator if the length of the string is 1.2 m.