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Speed of Sound Upstream of Sound Wave Formula

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Sound Speed Upstream refers to the speed of sound in a medium before passing through a sound wave. Check FAQs

a 1 = \sqrt{(γ - 1) \cdot (\frac{{u 2}^{2} - {u 1}^{2}}{2} + \frac{{a 2}^{2}}{γ - 1})}

a₁ - Sound Speed Upstream?γ - Specific Heat Ratio?u₂ - Flow Velocity Downstream of Sound?u₁ - Flow Velocity Upstream of Sound?a₂ - Sound Speed Downstream?

Speed of Sound Upstream of Sound Wave Example

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

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

Here is how the Speed of Sound Upstream of Sound Wave equation looks like.

11.9419 = \sqrt{(1.4 - 1) \cdot (\frac{45^{2} - 80^{2}}{2} + \frac{{31.9}^{2}}{1.4 - 1})}

11.9419m/s = \sqrt{(1.4 - 1) \cdot (\frac{{45m/s}^{2} - {80m/s}^{2}}{2} + \frac{{31.9m/s}^{2}}{1.4 - 1})}

11.9419 = \sqrt{(1.4 - 1) \cdot (\frac{45^{2} - 80^{2}}{2} + \frac{{31.9}^{2}}{1.4 - 1})}

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Speed of Sound Upstream of Sound Wave Solution

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

FIRST Step Consider the formula

a 1 = \sqrt{(γ - 1) \cdot (\frac{{u 2}^{2} - {u 1}^{2}}{2} + \frac{{a 2}^{2}}{γ - 1})}

Next Step Substitute values of Variables

∴

a 1 = \sqrt{(1.4 - 1) \cdot (\frac{{45m/s}^{2} - {80m/s}^{2}}{2} + \frac{{31.9m/s}^{2}}{1.4 - 1})}

Next Step Prepare to Evaluate

∴

a 1 = \sqrt{(1.4 - 1) \cdot (\frac{45^{2} - 80^{2}}{2} + \frac{{31.9}^{2}}{1.4 - 1})}

Next Step Evaluate

∴

a 1 = 11.9419428905015m/s

LAST Step Rounding Answer

∴

a 1 = 11.9419m/s

Speed of Sound Upstream of Sound Wave Formula Elements

Variables

Functions

Sound Speed Upstream

Sound Speed Upstream refers to the speed of sound in a medium before passing through a sound wave.

Symbol: a₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Sound Speed Upstream

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

Flow Velocity Downstream of Sound

Flow Velocity Downstream of Sound represents the velocity of a fluid flow or airflow after being influenced by a sound wave.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity Downstream of Sound

Flow Velocity Upstream of Sound

Flow Velocity Upstream of Sound represents the velocity of a fluid flow or airflow before being influenced by a sound wave.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity Upstream of Sound

Sound Speed Downstream

Sound Speed Downstream refers to the speed of sound in a medium after passing through a sound wave or disturbance.

Symbol: a₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Sound Speed Downstream

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 in Governing Equations and Sound Wave category

Go Speed of Sound

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

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

How to Evaluate Speed of Sound Upstream of Sound Wave?

Speed of Sound Upstream of Sound Wave evaluator uses Sound Speed Upstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Downstream of Sound^2-Flow Velocity Upstream of Sound^2)/2+Sound Speed Downstream^2/(Specific Heat Ratio-1))) to evaluate the Sound Speed Upstream, The Speed of Sound Upstream of Sound Wave can be determined by considering the properties of the medium and the flow conditions ahead of the sound wave. In an isentropic flow, the speed of sound is related to the Mach number and the flow velocity upstream of the sound wave. Sound Speed Upstream is denoted by a₁ symbol.

How to evaluate Speed of Sound Upstream of Sound Wave using this online evaluator? To use this online evaluator for Speed of Sound Upstream of Sound Wave, enter Specific Heat Ratio (γ), Flow Velocity Downstream of Sound (u₂), Flow Velocity Upstream of Sound (u₁) & Sound Speed Downstream (a₂) and hit the calculate button.

FAQs on Speed of Sound Upstream of Sound Wave

What is the formula to find Speed of Sound Upstream of Sound Wave?

The formula of Speed of Sound Upstream of Sound Wave is expressed as Sound Speed Upstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Downstream of Sound^2-Flow Velocity Upstream of Sound^2)/2+Sound Speed Downstream^2/(Specific Heat Ratio-1))). Here is an example- 5 = sqrt((1.4-1)*((45^2-80^2)/2+31.9^2/(1.4-1))).

How to calculate Speed of Sound Upstream of Sound Wave?

With Specific Heat Ratio (γ), Flow Velocity Downstream of Sound (u₂), Flow Velocity Upstream of Sound (u₁) & Sound Speed Downstream (a₂) we can find Speed of Sound Upstream of Sound Wave using the formula - Sound Speed Upstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Downstream of Sound^2-Flow Velocity Upstream of Sound^2)/2+Sound Speed Downstream^2/(Specific Heat Ratio-1))). This formula also uses Square Root Function function(s).

Can the Speed of Sound Upstream of Sound Wave be negative?

Yes, the Speed of Sound Upstream of Sound Wave, measured in Speed can be negative.

Which unit is used to measure Speed of Sound Upstream of Sound Wave?

Speed of Sound Upstream of Sound Wave 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 Upstream of Sound Wave can be measured.

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Speed of Sound Upstream of Sound Wave Formula

Speed of Sound Upstream of Sound Wave Example

Speed of Sound Upstream of Sound Wave Solution

Speed of Sound Upstream of Sound Wave Formula Elements

Other formulas in Governing Equations and Sound Wave category

How to Evaluate Speed of Sound Upstream of Sound Wave?

FAQs on Speed of Sound Upstream of Sound Wave

Variable Name