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]*Ti/MW)^0.5
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
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]*Ti/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 Meter per Second <-- Sonic Velocity
(Calculation completed in 00.012 seconds)

Credits

Created by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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3 Air Refrigeration Systems Calculators

Ram Efficiency
Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System) Go
Local Sonic or Acoustic velocity at Ambient air conditions
Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5 Go
Initial Mass of Evaporant Required to be carried for given Flight Time
Mass = (Rate of heat removal*Time in Minutes)/Latent Heat of Vaporization Go

2 Air Refrigeration Systems Calculators

Ram Efficiency
Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System) Go
Local Sonic or Acoustic velocity at Ambient air conditions
Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5 Go

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]*Ti/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 (Ti) & 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]*Ti/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 (Ti) & 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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