Local Sonic or Acoustic Velocity at Ambient Air Conditions Calculator

✖The heat capacity ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Heat Capacity Ratio [γ]			+10% -10%
✖Initial Temperature is the measure of hotness or coldness of a system at its initial state.ⓘ Initial Temperature [T_i]			+10% -10%
✖Molecular Weight is the mass of a given molecule.ⓘ Molecular Weight [MW]			+10% -10%

✖Sonic Velocity is speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.ⓘ Local Sonic or Acoustic Velocity at Ambient Air Conditions [a]

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Formula

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Local Sonic or Acoustic Velocity at Ambient Air Conditions

Formula

`"a" = ("γ"*"[R]"*"T"_{"i"}/"MW")^0.5`

Example

`"172.0047m/s"=("1.4"*"[R]"*"305K"/"0.120kg")^0.5`

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Local Sonic or Acoustic Velocity at Ambient Air Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5
a = (γ*[R]*T_i/MW)^0.5
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Sonic Velocity - (Measured in Meter per Second) - Sonic Velocity is speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.
Heat Capacity Ratio - The heat capacity ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the measure of hotness or coldness of a system at its initial state.
Molecular Weight - (Measured in Kilogram) - Molecular Weight is the mass of a given molecule.

STEP 1: Convert Input(s) to Base Unit

Heat Capacity Ratio: 1.4 --> No Conversion Required
Initial Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Molecular Weight: 0.12 Kilogram --> 0.12 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (γ*[R]*T_i/MW)^0.5 --> (1.4*[R]*305/0.12)^0.5

Evaluating ... ...

a = 172.004736803754

STEP 3: Convert Result to Output's Unit

172.004736803754 Meter per Second --> No Conversion Required

FINAL ANSWER

172.004736803754 ≈ 172.0047 Meter per Second <-- Sonic Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Refrigeration and Air Conditioning » Air Refrigeration Systems » Local Sonic or Acoustic Velocity at Ambient Air Conditions

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 4 Air Refrigeration Systems Calculators

Temperature Ratio at Start and End of Ramming Process

Go Temperature Ratio = 1+(Velocity^2*(Heat Capacity Ratio-1))/(2*Heat Capacity Ratio*[R]*Initial Temperature)

Ram Efficiency

Go Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System)

Local Sonic or Acoustic Velocity at Ambient Air Conditions

Go Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5

Initial Mass of Evaporant Required to be Carried for given Flight Time

Go Mass = (Rate of Heat Removal*Time in Minutes)/Latent Heat of Vaporization

< 17 Air Refrigeration Systems Calculators

Power required to maintain pressure inside cabin excluding ram work

Go Input Power = ((Mass of Air*Specific Heat Capacity at Constant Pressure*Actual temperature of Rammed Air)/(Compressor Efficiency))*((Cabin Pressure/Pressure of Rammed Air)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Power Required to Maintain Pressure inside Cabin including Ram Work

Go Input Power = ((Mass of Air*Specific Heat Capacity at Constant Pressure*Ambient Air Temperature)/(Compressor Efficiency))*((Cabin Pressure/Atmospheric Pressure)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

C.O.P. of simple air evaporative cycle

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air))

C.O.P. of simple air cycle

Go Actual Coefficient of Performance = (Inside temperature of cabin-Actual temperature at end of isentropic expansion)/(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air)

Mass of air to produce Q tonnes of refrigeration given exit temperature of cooling turbine

Go Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Temperature at End of Isentropic Expansion-Actual exit Temperature of cooling turbine))

Mass of air to produce Q tonnes of refrigeration

Go Mass of Air = (210*Tonnage of Refrigeration in TR)/(Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion))

Expansion Work

Go Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Temperature at the end of cooling process-Actual temperature at end of isentropic expansion)

Refrigeration Effect Produced

Go Refrigeration Effect Produced = Mass of Air*Specific Heat Capacity at Constant Pressure*(Inside temperature of cabin-Actual temperature at end of isentropic expansion)

Heat rejected during cooling process

Go Heat Rejected = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Temperature at the end of cooling process)

Compression Work

Go Work Done per min = Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air)

Power Required for Refrigeration System

Go Input Power = (Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual temperature of Rammed Air))/60

Temperature Ratio at Start and End of Ramming Process

Go Temperature Ratio = 1+(Velocity^2*(Heat Capacity Ratio-1))/(2*Heat Capacity Ratio*[R]*Initial Temperature)

Ram Efficiency

Go Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System)

Local Sonic or Acoustic Velocity at Ambient Air Conditions

Go Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5

Initial Mass of Evaporant Required to be Carried for given Flight Time

Go Mass = (Rate of Heat Removal*Time in Minutes)/Latent Heat of Vaporization

COP of Air Cycle for given Input Power and Tonnage of Refrigeration

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)

COP of Air Cycle given Input Power

Go Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)

Local Sonic or Acoustic Velocity at Ambient Air Conditions Formula

Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5
a = (γ*[R]*T_i/MW)^0.5

What is Local Sonic or Acoustic velocity?

The term Local Sonic or Acoustic velocity is commonly used to refer specifically to the speed of sound in air.

How to Calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions?

Local Sonic or Acoustic Velocity at Ambient Air Conditions calculator uses Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5 to calculate the Sonic Velocity, Local Sonic or Acoustic velocity at Ambient air conditions is defined as the rate at which a sound wave travels through a medium. Sonic Velocity is denoted by a symbol.

How to calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions using this online calculator? To use this online calculator for Local Sonic or Acoustic Velocity at Ambient Air Conditions, enter Heat Capacity Ratio (γ), Initial Temperature (T_i) & Molecular Weight (MW) and hit the calculate button. Here is how the Local Sonic or Acoustic Velocity at Ambient Air Conditions calculation can be explained with given input values -> 172.0047 = (1.4*[R]*305/0.12)^0.5.

FAQ

What is Local Sonic or Acoustic Velocity at Ambient Air Conditions?

Local Sonic or Acoustic velocity at Ambient air conditions is defined as the rate at which a sound wave travels through a medium and is represented as a = (γ*[R]*T_i/MW)^0.5 or Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5. The heat capacity ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume, Initial Temperature is the measure of hotness or coldness of a system at its initial state & Molecular Weight is the mass of a given molecule.

How to calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions?

Local Sonic or Acoustic velocity at Ambient air conditions is defined as the rate at which a sound wave travels through a medium is calculated using Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5. To calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions, you need Heat Capacity Ratio (γ), Initial Temperature (T_i) & Molecular Weight (MW). With our tool, you need to enter the respective value for Heat Capacity Ratio, Initial Temperature & Molecular Weight and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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