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Velocity of Sound using Dynamic Pressure and Density Formula

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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. Check FAQs

c speed = \sqrt{\frac{Y \cdot P}{ρ}}

c_speed - Speed of Sound?Y - Specific Heat Ratio?P - Pressure?ρ - Density?

Velocity of Sound using Dynamic Pressure and Density Example

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Here is how the Velocity of Sound using Dynamic Pressure and Density equation looks like with Values.

Here is how the Velocity of Sound using Dynamic Pressure and Density equation looks like with Units.

Here is how the Velocity of Sound using Dynamic Pressure and Density equation looks like.

363.7896 = \sqrt{\frac{1.6 \cdot 101325}{1.225}}

363.7896m/s = \sqrt{\frac{1.6 \cdot 101325Pa}{1.225kg/m³}}

363.7896 = \sqrt{\frac{1.6 \cdot 101325}{1.225}}

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Velocity of Sound using Dynamic Pressure and Density Solution

Follow our step by step solution on how to calculate Velocity of Sound using Dynamic Pressure and Density?

FIRST Step Consider the formula

c speed = \sqrt{\frac{Y \cdot P}{ρ}}

Next Step Substitute values of Variables

∴

c speed = \sqrt{\frac{1.6 \cdot 101325Pa}{1.225kg/m³}}

Next Step Prepare to Evaluate

∴

c speed = \sqrt{\frac{1.6 \cdot 101325}{1.225}}

Next Step Evaluate

∴

c speed = 363.789578111932m/s

LAST Step Rounding Answer

∴

c speed = 363.7896m/s

Velocity of Sound using Dynamic Pressure and Density Formula Elements

Variables

Functions

Speed of Sound

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.

Symbol: c_speed

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Sound

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.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Pressure

The Pressure is the force exerted by a fluid per unit area, crucial for understanding fluid behavior in various mechanical and engineering applications.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Density

The Density is the mass per unit volume of a substance, influencing its behavior in fluid dynamics and hypersonic flow applications.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

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 Oblique Shock Relation category

Go Wave Angle for Small Deflection Angle

β = \frac{Y + 1}{2} \cdot (θ d \cdot \frac{180}{π}) \cdot \frac{π}{180}

Go Coefficient of Pressure Derived from Oblique Shock Theory

C p = 2 \cdot {(\sin (β))}^{2}

Go Parallel Upstream Flow Components after Shock as Mach Tends to Infinite

u2 = V 1 \cdot (1 - \frac{2 \cdot {(\sin (β))}^{2}}{Y - 1})

Go Perpendicular Upstream Flow Components behind Shock Wave

v2 = \frac{V 1 \cdot (\sin (2 \cdot β))}{Y - 1}

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

Velocity of Sound using Dynamic Pressure and Density evaluator uses Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density) to evaluate 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 evaluate Velocity of Sound using Dynamic Pressure and Density using this online evaluator? To use this online evaluator for Velocity of Sound using Dynamic Pressure and Density, enter Specific Heat Ratio (Y), Pressure (P) & Density (ρ) and hit the calculate button.

FAQs on Velocity of Sound using Dynamic Pressure and Density

What is the formula to find Velocity of Sound using Dynamic Pressure and Density?

The formula of Velocity of Sound using Dynamic Pressure and Density is expressed as Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density). Here is an example- 363.7896 = sqrt((1.6*101325)/1.225).

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

With Specific Heat Ratio (Y), Pressure (P) & Density (ρ) we can find Velocity of Sound using Dynamic Pressure and Density using the formula - Speed of Sound = sqrt((Specific Heat Ratio*Pressure)/Density). This formula also uses Square Root (sqrt) function(s).

Can the Velocity of Sound using Dynamic Pressure and Density be negative?

No, the Velocity of Sound using Dynamic Pressure and Density, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Sound using Dynamic Pressure and Density?

Velocity of Sound using Dynamic Pressure and Density 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 Velocity of Sound using Dynamic Pressure and Density can be measured.

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