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Speed of Sound in an Ideal Gas by Pressure

The speed of sound is the distance traveled per unit time by a sound wave as it propagates through an elastic medium.

The speed of sound equals the square root of the product of the pressure and the adiabatic index divided by the mass density.

Formula

QuantityVariable[Subscript["v", "s"], "Speed"] == Sqrt[(QuantityVariable["P", "Pressure"]*QuantityVariable["γ", "Unitless"])/QuantityVariable["d", "MassDensity"]]

symbol description physical quantity
vs speed of sound "Speed"
d density "MassDensity"
P pressure "Pressure"
γ adiabatic index "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Speed of Sound in an Ideal Gas by Pressure"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Speed of Sound in an Ideal Gas by Pressure"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Speed of Sound in an Ideal Gas by Pressure"], {QuantityVariable[ \!\(\*SubscriptBox[\("v"\), \("s"\)]\),"Speed"] -> Quantity[343, ("Meters")/("Seconds")]}]
Out[3]=

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