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Local Velocity of Sound Formula

GoLocal Velocity of Sound when Air Behaves as Ideal Gas Formula

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Local Velocity of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. Check FAQs

a = \sqrt{(γ \cdot [R] \cdot T m)}

a - Local Velocity of Sound?γ - Ratio of Specific Heat Capacities?T_m - Temperature of Medium?[R] - Universal gas constant?

Local Velocity of Sound Example

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

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

Here is how the Local Velocity of Sound equation looks like.

201.0181 = \sqrt{(16.2 \cdot 8.3145 \cdot 300)}

201.0181m/s = \sqrt{(16.2 \cdot 8.3145 \cdot 300K)}

201.0181 = \sqrt{(16.2 \cdot 8.3145 \cdot 300)}

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Local Velocity of Sound Solution

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

FIRST Step Consider the formula

a = \sqrt{(γ \cdot [R] \cdot T m)}

Next Step Substitute values of Variables

∴

a = \sqrt{(16.2 \cdot [R] \cdot 300K)}

Next Step Substitute values of Constants

∴

a = \sqrt{(16.2 \cdot 8.3145 \cdot 300K)}

Next Step Prepare to Evaluate

∴

a = \sqrt{(16.2 \cdot 8.3145 \cdot 300)}

Next Step Evaluate

∴

a = 201.018129342168m/s

LAST Step Rounding Answer

∴

a = 201.0181m/s

Local Velocity of Sound Formula Elements

Variables

Constants

Functions

Local Velocity of Sound

Local Velocity of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.

Symbol: a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Local Velocity of Sound

Ratio of Specific Heat Capacities

Ratio of Specific Heat Capacities, also known as the adiabatic index, the ratio of specific heats,is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Ratio of Specific Heat Capacities

Temperature of Medium

Temperature of Medium is defined as the degree of hotness or coldness of the Transparent medium.

Symbol: T_m

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature of Medium

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

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 Local Velocity of Sound

Go Local Velocity of Sound when Air Behaves as Ideal Gas

a = 20.045 \cdot \sqrt{(T m)}

Other formulas in Convection Heat Transfer category

Go Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

ṁ = ρ Fluid \cdot A T \cdot u m

Go Mass Velocity

G = \frac{ṁ}{A T}

Go Mass Velocity given Mean Velocity

G = ρ Fluid \cdot u m

Go Reynolds Number given Mass Velocity

Re d = \frac{G \cdot d}{μ}

How to Evaluate Local Velocity of Sound?

Local Velocity of Sound evaluator uses Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium)) to evaluate the Local Velocity of Sound, The Local Velocity of Sound formula is defined as the function of Ratio of specific heat capacities (Cp / Cv), acceleration due to gravity, universal gas constant and Temperature of medium. A sound wave is a pressure disturbance that travels through a medium by means of particle-to-particle interaction. As one particle becomes disturbed, it exerts a force on the next adjacent particle, thus disturbing that particle from rest and transporting the energy through the medium. Like any wave, the speed of a sound wave refers to how fast the disturbance is passed from particle to particle. Local Velocity of Sound is denoted by a symbol.

How to evaluate Local Velocity of Sound using this online evaluator? To use this online evaluator for Local Velocity of Sound, enter Ratio of Specific Heat Capacities (γ) & Temperature of Medium (T_m) and hit the calculate button.

FAQs on Local Velocity of Sound

What is the formula to find Local Velocity of Sound?

The formula of Local Velocity of Sound is expressed as Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium)). Here is an example- 56.94419 = sqrt((16.2*[R]*300)).

How to calculate Local Velocity of Sound?

With Ratio of Specific Heat Capacities (γ) & Temperature of Medium (T_m) we can find Local Velocity of Sound using the formula - Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium)). This formula also uses Universal gas constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Local Velocity of Sound?

Here are the different ways to Calculate Local Velocity of Sound-

Local Velocity of Sound=20.045*sqrt((Temperature of Medium))

Can the Local Velocity of Sound be negative?

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

Which unit is used to measure Local Velocity of Sound?

Local Velocity 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 Local Velocity of Sound can be measured.

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