15.3 A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20 °C = 343 m s–1.

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8 months ago

Length of the steel wire, l = 12 m

Mass of the steel wire, m = 2.1 kg

Velocity of the transverse wave, v = 343 m/s

Mass per unit length,  μ = ml = 2.112 = 0.175 kg/m

The velocity (v) of the transverse wave in the string is given by the relation:

v=Tμ , where T is the tension

T = v2*μ = 3432*0.175 = 20588.575 N = 2.06 *104 N

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Physics Waves 2021

Physics Waves 2021

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