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The situation with solids is considerably more complicated, with
different speeds in different directions, in different kinds of
geometries, and differences between transverse and longitudinal waves.
Nevertheless, the speed of sound in solids is larger than in liquids
and definitely larger than in gases.
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Speed of sound in solid of steel, using a general tabulated value for the bulk modulus, gives a sound speed for structural steel of
Compared to one tabulated value the example values for stainless steel lays between the speed for longitudinal and transverse waves.