Speed of sound: Difference between revisions
Carl McBride (talk | contribs) mNo edit summary |
Carl McBride (talk | contribs) m (Added subscript) |
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:<math>c = \sqrt{ \left. \frac{\partial p}{\partial \rho} \right\vert_S } = \sqrt{ \frac{B_S}{\rho} }</math> | :<math>c = \sqrt{ \left. \frac{\partial p}{\partial \rho} \right\vert_S } = \sqrt{ \frac{B_S}{\rho} }</math> | ||
where <math> | where <math>B_S</math> is the adiabatic [[Compressibility |bulk modulus]], given by | ||
:<math>B_S = \frac{C_p}{C_V} B_T</math> | :<math>B_S = \frac{C_p}{C_V} B_T</math> | ||
Latest revision as of 14:59, 23 May 2012
The speed of sound (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c} ) can be written as:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c = \sqrt{ \left. \frac{\partial p}{\partial \rho} \right\vert_S } = \sqrt{ \frac{B_S}{\rho} }}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_S} is the adiabatic bulk modulus, given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_S = \frac{C_p}{C_V} B_T}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle C} is the heat capacity and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_T} is the isothermal bulk modulus, leading to
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c = \sqrt{ \frac{C_p B_T}{C_V \rho} }}