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单词 speed of sound
释义 speed of sound
Symbol c or cs. The speed at which sound waves are propagated through a material medium. In air at 20°C sound travels at 344 m s-1, in water at 20°C it travels at 1461 m s-1, and in steel at 20°C at 5000 m s-1. The speed of sound in a medium depends on the medium's modulus of elasticity (E) and its density (ρ) according to the relationship
c = v(E/ρ)
. For longitudinal waves in a narrow solid specimen, E is the Young modulus; for a liquid E is the bulk modulus (see elastic modulus); and for a gas
E = γp
, where γ is the ratio of the principal specific heat capacities and p is the pressure of the gas. For an ideal gas the relationship takes the form
c = v(γrT)
, where r is the gas constant per unit mass and T is the thermodynamic temperature. This equation shows how the speed of sound in a gas is related to its temperature. This relationship can be written
c = c0v(1 + t/273)
, where c0 is the speed of sound in a particular gas at 0°C and t is the temperature in °C
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更新时间:2025/6/23 0:41:20