Steel Wire

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What would be the speed of a wave in the steel wire?

A 4.6 kg ball hangs from a steel wire 1.40 mm in diameter and 2.00 m long. What would be the speed of a wave in the steel wire?

For a transverse wave in a string, v = sqrt(T/mu). Density of steel, rho, is approximately 7,500 kg/m^3.
T = 4.6 x 9.8 = 45.08 N.
mu = pi x .0007^2 x rho = 3.14 x 4.9 x 10^-7 x 7500 = .01154 kg/m.
v = sqrt(45.08/.01154) = 3906 m/s.

I haven't double checked my work; it could be off by a factor of ten.

A longitudinal wave will move at the speed of sound in the material, which is about 6 km/s.

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