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Calculate the speed of sound in a steel ...

Calculate the speed of sound in a steel rod whose Young's modulus `Y = 2 xx 10^(11) N m^(-2)` and `rho = 7800 kg m^(-3)`

Text Solution

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`v = sqrt((Y)/(rho)) = sqrt((2 xx 10^(11))/(7800)) = sqrt(0.2564 xx 10^(8)) = 0.506 xx 10^(4) ms^(-1) = 5 xx 10^(3) ms^(-1)`
Therefore , longitudinal waves travel faster in a solid than in a liquid or a gas . Now you may understand why a shepherd checks before crossing railway track by keeping his ears on the rails to safeguard his cattle .
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