Velocity of Sound using Dynamic Pressure and Density Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖The Pressure is the force exerted by a fluid per unit area, crucial for understanding fluid behavior in various mechanical and engineering applications.ⓘ Pressure [P]			+10% -10%
✖The Density is the mass per unit volume of a substance, influencing its behavior in fluid dynamics and hypersonic flow applications.ⓘ Density [ρ]			+10% -10%

✖The Speed of Sound is the distance traveled by sound waves through a medium in a given time, influencing various phenomena in fluid mechanics and hypersonic flow.ⓘ Velocity of Sound using Dynamic Pressure and Density [c_speed]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hypersonic Flow Formula PDF PDF Image

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 the distance traveled by sound waves through a medium in a given time, influencing various phenomena in fluid mechanics and hypersonic flow.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows.
Pressure - (Measured in Pascal) - The Pressure is the force exerted by a fluid per unit area, crucial for understanding fluid behavior in various mechanical and engineering applications.
Density - (Measured in Kilogram per Cubic Meter) - The Density is the mass per unit volume of a substance, influencing its behavior in fluid dynamics and hypersonic flow applications.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Pressure: 101325 Pascal --> 101325 Pascal No Conversion Required
Density: 1.225 Kilogram per Cubic Meter --> 1.225 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*101325)/1.225)

Evaluating ... ...

c_speed = 363.789578111932

STEP 3: Convert Result to Output's Unit

363.789578111932 Meter per Second --> No Conversion Required

FINAL ANSWER

363.789578111932 ≈ 363.7896 Meter per Second <-- Speed of Sound

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Oblique Shock Relation » Velocity of Sound using Dynamic Pressure and Density

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

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

Vinay Mishra has verified this Calculator and 100+ more calculators!

< Oblique Shock Relation Calculators

Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

LaTeX 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

LaTeX 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

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

Coefficient of Pressure Derived from Oblique Shock Theory

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

Velocity of Sound using Dynamic Pressure and Density Formula

LaTeX Go

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, Velocity of Sound using Dynamic Pressure and Density formula is defined as a measure of the speed of sound waves in a medium, which is influenced by the dynamic pressure and density of the medium, and is an important parameter in the study of oblique shock relations and aerodynamics. 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 -> 363.7896 = sqrt((1.6*101325)/1.225).

FAQ

What is Velocity of Sound using Dynamic Pressure and Density?

Velocity of Sound using Dynamic Pressure and Density formula is defined as a measure of the speed of sound waves in a medium, which is influenced by the dynamic pressure and density of the medium, and is an important parameter in the study of oblique shock relations and aerodynamics and is represented as c_speed = sqrt((Y*P)/ρ) or Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume, important for understanding fluid behavior in hypersonic flows, The Pressure is the force exerted by a fluid per unit area, crucial for understanding fluid behavior in various mechanical and engineering applications & The Density is the mass per unit volume of a substance, influencing its behavior in fluid dynamics and hypersonic flow applications.

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

Velocity of Sound using Dynamic Pressure and Density formula is defined as a measure of the speed of sound waves in a medium, which is influenced by the dynamic pressure and density of the medium, and is an important parameter in the study of oblique shock relations and aerodynamics 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.

Home

FREE PDFs

🔍 Search