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Stagnation Velocity of Sound Formula

GoStagnation Velocity of Sound given Specific Heat at Constant Pressure Formula

GoStagnation Velocity of Sound given Stagnation Enthalpy Formula

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Stagnation Velocity of Sound is the speed of sound in a fluid at stagnation conditions. Check FAQs

a o = \sqrt{γ \cdot [R] \cdot T 0}

a_o - Stagnation Velocity of Sound?γ - Specific Heat Ratio?T₀ - Stagnation Temperature?[R] - Universal gas constant?

Stagnation Velocity of Sound Example

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

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

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

59.0938 = \sqrt{1.4 \cdot 8.3145 \cdot 300}

59.0938m/s = \sqrt{1.4 \cdot 8.3145 \cdot 300K}

59.0938 = \sqrt{1.4 \cdot 8.3145 \cdot 300}

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Stagnation Velocity of Sound Solution

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

FIRST Step Consider the formula

a o = \sqrt{γ \cdot [R] \cdot T 0}

Next Step Substitute values of Variables

∴

a o = \sqrt{1.4 \cdot [R] \cdot 300K}

Next Step Substitute values of Constants

∴

a o = \sqrt{1.4 \cdot 8.3145 \cdot 300K}

Next Step Prepare to Evaluate

∴

a o = \sqrt{1.4 \cdot 8.3145 \cdot 300}

Next Step Evaluate

∴

a o = 59.0937754727548m/s

LAST Step Rounding Answer

∴

a o = 59.0938m/s

Stagnation Velocity of Sound Formula Elements

Variables

Constants

Functions

Stagnation Velocity of Sound

Stagnation Velocity of Sound is the speed of sound in a fluid at stagnation conditions.

Symbol: a_o

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Stagnation Velocity 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

Stagnation Temperature

Stagnation Temperature is defined as the temperature that would exist if the flow were slowed down isentropically to zero velocity.

Symbol: T₀

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Stagnation Temperature

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 Stagnation Velocity of Sound

Go Stagnation Velocity of Sound given Specific Heat at Constant Pressure

a o = \sqrt{(γ - 1) \cdot C p \cdot T 0}

Go Stagnation Velocity of Sound given Stagnation Enthalpy

a o = \sqrt{(γ - 1) \cdot h 0}

Other formulas in Thermodynamics and Governing Equations category

Go Heat Capacity Ratio

γ = \frac{C p}{C v}

Go Internal Energy of Perfect Gas at given Temperature

U = C v \cdot T

Go Enthalpy of Ideal Gas at given Temperature

h = C p \cdot T

Go Pressure Ratio

P R = \frac{P f}{P i}

How to Evaluate Stagnation Velocity of Sound?

Stagnation Velocity of Sound evaluator uses Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature) to evaluate the Stagnation Velocity of Sound, The Stagnation Velocity of Sound formula is defined as square root of product of adiabatic index, universal gas constant and stagnation temperature. Stagnation Velocity of Sound is denoted by a_o symbol.

How to evaluate Stagnation Velocity of Sound using this online evaluator? To use this online evaluator for Stagnation Velocity of Sound, enter Specific Heat Ratio (γ) & Stagnation Temperature (T₀) and hit the calculate button.

FAQs on Stagnation Velocity of Sound

What is the formula to find Stagnation Velocity of Sound?

The formula of Stagnation Velocity of Sound is expressed as Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature). Here is an example- 59.09378 = sqrt(1.4*[R]*300).

How to calculate Stagnation Velocity of Sound?

With Specific Heat Ratio (γ) & Stagnation Temperature (T₀) we can find Stagnation Velocity of Sound using the formula - Stagnation Velocity of Sound = sqrt(Specific Heat Ratio*[R]*Stagnation Temperature). This formula also uses Universal gas constant and Square Root (sqrt) function(s).

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

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

Stagnation Velocity of Sound=sqrt((Specific Heat Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)
Stagnation Velocity of Sound=sqrt((Specific Heat Ratio-1)*Stagnation Enthalpy)

Can the Stagnation Velocity of Sound be negative?

Yes, the Stagnation Velocity of Sound, measured in Speed can be negative.

Which unit is used to measure Stagnation Velocity of Sound?

Stagnation 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 Stagnation Velocity of Sound can be measured.

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