Velocity of Sound using Dynamic Pressure and Density Calculator

✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%

✖The speed of sound is defined as the dynamic propagation of sound waves.ⓘ Velocity of Sound using Dynamic Pressure and Density [c_speed]

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Velocity of Sound using Dynamic Pressure and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density)
c_speed = sqrt((Y*P)/ρ)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Speed of Sound - (Measured in Meter per Second) - The speed of sound is defined as the dynamic propagation of sound waves.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_speed = sqrt((Y*P)/ρ) --> sqrt((1.6*800)/997)

Evaluating ... ...

c_speed = 1.13307173412101

STEP 3: Convert Result to Output's Unit

1.13307173412101 Meter per Second --> No Conversion Required

FINAL ANSWER

1.13307173412101 ≈ 1.133072 Meter per Second <-- Speed of Sound

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Oblique Shock Relation Calculators

Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

Go Parallel upstream flow components = Velocity of the fluid at 1*(1-(2*(sin(Wave Angle))^2)/(Specific Heat Ratio-1))

Perpendicular Upstream Flow Components behind Shock Wave

Go Perpendicular upstream flow components = (Velocity of the fluid at 1*(sin(2*Wave Angle)))/(Specific Heat Ratio-1)

Wave Angle for Small Deflection Angle

Go Wave Angle = (Specific Heat Ratio+1)/2*(Deflection Angle*180/pi)*pi/180

Coefficient of Pressure Derived from Oblique Shock Theory

Go Pressure Coefficient = 2*(sin(Wave Angle))^2

Velocity of Sound using Dynamic Pressure and Density Formula

Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density)
c_speed = sqrt((Y*P)/ρ)

What is the velocity of sound?

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C (68 °F), the speed of sound in air is about 343 meters per second (1,235 km/h; 1,125 ft/s; 767 mph; 667 kn), or a kilometer in 2.9 s or a mile in 4.7 s.

How to Calculate Velocity of Sound using Dynamic Pressure and Density?

Velocity of Sound using Dynamic Pressure and Density calculator uses Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density) to calculate the Speed of Sound, The Velocity of sound using dynamic pressure and density formula is defined as the square root of ratio of the product of specific heat ratio and pressure of flow before shock to the density of flow before the shock. Speed of Sound is denoted by c_speed symbol.

How to calculate Velocity of Sound using Dynamic Pressure and Density using this online calculator? To use this online calculator for Velocity of Sound using Dynamic Pressure and Density, enter Specific Heat Ratio (Y), Pressure (P) & Density (ρ) and hit the calculate button. Here is how the Velocity of Sound using Dynamic Pressure and Density calculation can be explained with given input values -> 1.133072 = sqrt((1.6*800)/997).

FAQ

What is Velocity of Sound using Dynamic Pressure and Density?

The Velocity of sound using dynamic pressure and density formula is defined as the square root of ratio of the product of specific heat ratio and pressure of flow before shock to the density of flow before the shock and is represented as c_speed = sqrt((Y*P)/ρ) or Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

How to calculate Velocity of Sound using Dynamic Pressure and Density?

The Velocity of sound using dynamic pressure and density formula is defined as the square root of ratio of the product of specific heat ratio and pressure of flow before shock to the density of flow before the shock is calculated using Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density). To calculate Velocity of Sound using Dynamic Pressure and Density, you need Specific Heat Ratio (Y), Pressure (P) & Density (ρ). With our tool, you need to enter the respective value for Specific Heat Ratio, Pressure & Density 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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