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Speed of Sound Formula

GoSpeed of Sound given Isentropic Change Formula

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The Speed of Sound is defined as speed of the dynamic propagation of sound waves. Check FAQs

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

a - Speed of Sound?γ - Specific Heat Ratio?T_s - Static Temperature?[R-Dry-Air] - Specific Gas Constant for Dry Air?

Speed of Sound Example

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Here is how the Speed of Sound equation looks like with Values.

Here is how the Speed of Sound equation looks like with Units.

Here is how the Speed of Sound equation looks like.

344.9012 = \sqrt{1.4 \cdot 287.058 \cdot 296}

344.9012m/s = \sqrt{1.4 \cdot 287.058 \cdot 296K}

344.9012 = \sqrt{1.4 \cdot 287.058 \cdot 296}

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Speed of Sound Solution

Follow our step by step solution on how to calculate Speed of Sound?

FIRST Step Consider the formula

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

Next Step Substitute values of Variables

∴

a = \sqrt{1.4 \cdot [R-Dry-Air] \cdot 296K}

Next Step Substitute values of Constants

∴

a = \sqrt{1.4 \cdot 287.058 \cdot 296K}

Next Step Prepare to Evaluate

∴

a = \sqrt{1.4 \cdot 287.058 \cdot 296}

Next Step Evaluate

∴

a = 344.901196286705m/s

LAST Step Rounding Answer

∴

a = 344.9012m/s

Speed of Sound Formula Elements

Variables

Constants

Functions

Speed of Sound

The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

Symbol: a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Sound

Specific Heat Ratio

The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

Static Temperature

The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.

Symbol: T_s

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Static Temperature

Specific Gas Constant for Dry Air

Specific Gas Constant for Dry Air represents the amount of heat required to raise the temperature of one kilogram of dry air by one degree Kelvin, without any phase change.

Symbol: [R-Dry-Air]

Value: 287.058

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Speed of Sound

Go Speed of Sound given Isentropic Change

a = \sqrt{dpdρ}

Other formulas in Thermodynamics and Governing Equations category

Go Mach Number

M = \frac{V b}{a}

Go Mach Angle

μ = a \sin (\frac{1}{M})

Go Mayer's Formula

R = C p - C v

Go Stagnation Temperature

T 0 = T s + \frac{{U fluid}^{2}}{2 \cdot C p}

How to Evaluate Speed of Sound?

Speed of Sound evaluator uses Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature) to evaluate the Speed of Sound, Speed of Sound formula is defined as a representation of how quickly sound waves propagate through a medium, influenced by factors such as temperature and the specific properties of the gas, which are essential in various aerospace applications. Speed of Sound is denoted by a symbol.

How to evaluate Speed of Sound using this online evaluator? To use this online evaluator for Speed of Sound, enter Specific Heat Ratio (γ) & Static Temperature (T_s) and hit the calculate button.

FAQs on Speed of Sound

What is the formula to find Speed of Sound?

The formula of Speed of Sound is expressed as Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature). Here is an example- 344.9012 = sqrt(1.4*[R-Dry-Air]*296).

How to calculate Speed of Sound?

With Specific Heat Ratio (γ) & Static Temperature (T_s) we can find Speed of Sound using the formula - Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature). This formula also uses Specific Gas Constant for Dry Air and Square Root (sqrt) function(s).

What are the other ways to Calculate Speed of Sound?

Here are the different ways to Calculate Speed of Sound-

Speed of Sound=sqrt(Isentropic Change)

Can the Speed of Sound be negative?

No, the Speed of Sound, measured in Speed cannot be negative.

Which unit is used to measure Speed of Sound?

Speed of Sound is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Speed of Sound can be measured.

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Speed of Sound Formula

​GoSpeed of Sound given Isentropic Change Formula

Speed of Sound Example

Speed of Sound Solution

Speed of Sound Formula Elements

Other Formulas to find Speed of Sound

Other formulas in Thermodynamics and Governing Equations category

How to Evaluate Speed of Sound?

FAQs on Speed of Sound

Variable Name

GoSpeed of Sound given Isentropic Change Formula