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A steel wire has a length of 12.0m and a mass of 2.10kg. 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=343ms^(-1)`. |
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Answer» Length of the steel wire, l = 12 m Mass of the steel wire, m = 2.10 kg Velocity of the transverse wave, v = 343 m/s Mass per unit length, `mu=(m)/(l)=(2.10)/(12)=0.175 kg m^(-1)` For tension T, velocity of the transverse wave can be obtained using the relation : `v=sqrt((T)/(mu))` `therefore T=v^(2)mu` `=(343)^(2)xx0.175 = 20588~~2.06xx10^(4)N` |
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