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Sonic Velocity Formula

GoVelocity of Sound Wave given Bulk Modulus Formula

GoVelocity of Sound Wave given Mach Number for Compressible Fluid Flow Formula

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Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave. Check FAQs

C = \sqrt{\frac{K}{ρ a}}

C - Velocity of Sound in Medium?K - Bulk Modulus of Sound Medium?ρ_a - Density of Air Medium?

Sonic Velocity Example

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Here is how the Sonic Velocity equation looks like with Values.

Here is how the Sonic Velocity equation looks like with Units.

Here is how the Sonic Velocity equation looks like.

330 = \sqrt{\frac{140481}{1.29}}

330m/s = \sqrt{\frac{140481N/m²}{1.29kg/m³}}

330 = \sqrt{\frac{140481}{1.29}}

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Sonic Velocity Solution

Follow our step by step solution on how to calculate Sonic Velocity?

FIRST Step Consider the formula

C = \sqrt{\frac{K}{ρ a}}

Next Step Substitute values of Variables

∴

C = \sqrt{\frac{140481N/m²}{1.29kg/m³}}

Next Step Convert Units

∴

C = \sqrt{\frac{140481Pa}{1.29kg/m³}}

Next Step Prepare to Evaluate

∴

C = \sqrt{\frac{140481}{1.29}}

LAST Step Evaluate

∴

C = 330m/s

Sonic Velocity Formula Elements

Variables

Functions

Velocity of Sound in Medium

Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Sound in Medium

Bulk Modulus of Sound Medium

Bulk Modulus of Sound Medium is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.

Symbol: K

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Bulk Modulus of Sound Medium

Density of Air Medium

Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.

Symbol: ρ_a

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Air Medium

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 to find Velocity of Sound in Medium

Go Velocity of Sound Wave given Bulk Modulus

C = \sqrt{\frac{K}{ρ a}}

Go Velocity of Sound Wave given Mach Number for Compressible Fluid Flow

C = \frac{V}{M}

Go Velocity of Sound Wave considering Mach Angle in Compressible Fluid Flow

C = V \cdot \sin (μ)

Other formulas in Compressible Flow Parameters category

Go Bulk Modulus for Velocity of Sound Wave

K = ρ a \cdot C^{2}

Go Mach Number for Compressible Fluid Flow

M = \frac{V}{C}

Go Mach Angle for Compressible Fluid Flow

μ = a \sin (\frac{C}{V})

Go Velocity of Projectile of Mach Cone in Compressible Fluid Flow

V = \frac{C}{\sin (μ)}

How to Evaluate Sonic Velocity?

Sonic Velocity evaluator uses Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium) to evaluate the Velocity of Sound in Medium, Sonic Velocity refers to the speed at which a fluid, typically a gas, travels when it reaches the speed of sound in that particular medium. Understanding sonic velocity is critical in various fields, including aerospace engineering, acoustics, and fluid dynamics, as it determines the maximum achievable velocity for efficient flow and performance considerations. Velocity of Sound in Medium is denoted by C symbol.

How to evaluate Sonic Velocity using this online evaluator? To use this online evaluator for Sonic Velocity, enter Bulk Modulus of Sound Medium (K) & Density of Air Medium (ρ_a) and hit the calculate button.

FAQs on Sonic Velocity

What is the formula to find Sonic Velocity?

The formula of Sonic Velocity is expressed as Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium). Here is an example- 332.9455 = sqrt(140481/1.29).

How to calculate Sonic Velocity?

With Bulk Modulus of Sound Medium (K) & Density of Air Medium (ρ_a) we can find Sonic Velocity using the formula - Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Velocity of Sound in Medium?

Here are the different ways to Calculate Velocity of Sound in Medium-

Velocity of Sound in Medium=sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
Velocity of Sound in Medium=Projectile Velocity of Mach Cone/Mach Number For Compressible Flow
Velocity of Sound in Medium=Projectile Velocity of Mach Cone*sin(Mach Angle in Compressible Flow)

Can the Sonic Velocity be negative?

No, the Sonic Velocity, measured in Speed cannot be negative.

Which unit is used to measure Sonic Velocity?

Sonic Velocity 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 Sonic Velocity can be measured.

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Sonic Velocity Formula

​GoVelocity of Sound Wave given Bulk Modulus Formula

​GoVelocity of Sound Wave given Mach Number for Compressible Fluid Flow Formula

Sonic Velocity Example

Sonic Velocity Solution

Sonic Velocity Formula Elements

Other Formulas to find Velocity of Sound in Medium

Other formulas in Compressible Flow Parameters category

How to Evaluate Sonic Velocity?

FAQs on Sonic Velocity

Variable Name

GoVelocity of Sound Wave given Bulk Modulus Formula

GoVelocity of Sound Wave given Mach Number for Compressible Fluid Flow Formula