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New Pressure after Shock Formation for Compression Wave Formula

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Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Check FAQs

P = ρ 1 \cdot {(1 + (\frac{γ - 1}{2}) \cdot (\frac{Vn}{c old}))}^{2 \cdot \frac{γ}{γ - t sec}}

P - Pressure?ρ₁ - Density Ahead of Shock?γ - Specific Heat Ratio?Vn - Normal velocity?c_old - Old Speed of Sound?t_sec - Time in Seconds?

New Pressure after Shock Formation for Compression Wave Example

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Here is how the New Pressure after Shock Formation for Compression Wave equation looks like with Values.

Here is how the New Pressure after Shock Formation for Compression Wave equation looks like with Units.

Here is how the New Pressure after Shock Formation for Compression Wave equation looks like.

1.3246 = 1.4 \cdot {(1 + (\frac{1.6 - 1}{2}) \cdot (\frac{1000}{342}))}^{2 \cdot \frac{1.6}{1.6 - 38}}

1.3246Pa = 1.4kg/m³ \cdot {(1 + (\frac{1.6 - 1}{2}) \cdot (\frac{1000m/s}{342m/s}))}^{2 \cdot \frac{1.6}{1.6 - 38s}}

1.3246 = 1.4 \cdot {(1 + (\frac{1.6 - 1}{2}) \cdot (\frac{1000}{342}))}^{2 \cdot \frac{1.6}{1.6 - 38}}

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New Pressure after Shock Formation for Compression Wave Solution

Follow our step by step solution on how to calculate New Pressure after Shock Formation for Compression Wave?

FIRST Step Consider the formula

P = ρ 1 \cdot {(1 + (\frac{γ - 1}{2}) \cdot (\frac{Vn}{c old}))}^{2 \cdot \frac{γ}{γ - t sec}}

Next Step Substitute values of Variables

∴

P = 1.4kg/m³ \cdot {(1 + (\frac{1.6 - 1}{2}) \cdot (\frac{1000m/s}{342m/s}))}^{2 \cdot \frac{1.6}{1.6 - 38s}}

Next Step Prepare to Evaluate

∴

P = 1.4 \cdot {(1 + (\frac{1.6 - 1}{2}) \cdot (\frac{1000}{342}))}^{2 \cdot \frac{1.6}{1.6 - 38}}

Next Step Evaluate

∴

P = 1.32459556094178Pa

LAST Step Rounding Answer

∴

P = 1.3246Pa

New Pressure after Shock Formation for Compression Wave Formula Elements

Variables

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Density Ahead of Shock

Density ahead of shock is the density of the fluid in the upstream direction of shock.

Symbol: ρ₁

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density Ahead of Shock

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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Normal velocity

Normal velocity is the velocity normal to the shock formation.

Symbol: Vn

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Normal velocity

Old Speed of Sound

Old speed of sound is the speed of sound before the shock.

Symbol: c_old

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Old Speed of Sound

Time in Seconds

Time in seconds is what a clock reads, it is a scalar quantity.

Symbol: t_sec

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time in Seconds

Other formulas in Compression Waves category

Go Temperature Ratio for Unsteady Compression Waves

T ratio = {(1 + (\frac{γ - 1}{2}) \cdot (\frac{u'}{c speed}))}^{2}

Go Density before Shock Formation for Compression Wave

ρ 2 = \frac{p 01}{{(1 + (\frac{γ - 1}{2}) \cdot (\frac{Vn}{c old}))}^{2 \cdot \frac{γ}{γ - t sec}}}

How to Evaluate New Pressure after Shock Formation for Compression Wave?

New Pressure after Shock Formation for Compression Wave evaluator uses Pressure = Density Ahead of Shock*(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time in Seconds)) to evaluate the Pressure, New Pressure after Shock Formation for Compression Wave formula is defined as a measure of the resulting pressure after a shock wave forms in a compressible flow, typically occurring in high-speed flight or explosions, where the pressure increase is dependent on the properties of the fluid and the shock wave. Pressure is denoted by P symbol.

How to evaluate New Pressure after Shock Formation for Compression Wave using this online evaluator? To use this online evaluator for New Pressure after Shock Formation for Compression Wave, enter Density Ahead of Shock (ρ₁), Specific Heat Ratio (γ), Normal velocity (Vn), Old Speed of Sound (c_old) & Time in Seconds (t_sec) and hit the calculate button.

FAQs on New Pressure after Shock Formation for Compression Wave

What is the formula to find New Pressure after Shock Formation for Compression Wave?

The formula of New Pressure after Shock Formation for Compression Wave is expressed as Pressure = Density Ahead of Shock*(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time in Seconds)). Here is an example- 1.324596 = 1.4*(1+((1.6-1)/2)*(1000/342))^(2*1.6/(1.6-38)).

How to calculate New Pressure after Shock Formation for Compression Wave?

With Density Ahead of Shock (ρ₁), Specific Heat Ratio (γ), Normal velocity (Vn), Old Speed of Sound (c_old) & Time in Seconds (t_sec) we can find New Pressure after Shock Formation for Compression Wave using the formula - Pressure = Density Ahead of Shock*(1+((Specific Heat Ratio-1)/2)*(Normal velocity/Old Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-Time in Seconds)).

Can the New Pressure after Shock Formation for Compression Wave be negative?

Yes, the New Pressure after Shock Formation for Compression Wave, measured in Pressure can be negative.

Which unit is used to measure New Pressure after Shock Formation for Compression Wave?

New Pressure after Shock Formation for Compression Wave is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which New Pressure after Shock Formation for Compression Wave can be measured.

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New Pressure after Shock Formation for Compression Wave Formula

New Pressure after Shock Formation for Compression Wave Example

New Pressure after Shock Formation for Compression Wave Solution

New Pressure after Shock Formation for Compression Wave Formula Elements

Other formulas in Compression Waves category

How to Evaluate New Pressure after Shock Formation for Compression Wave?

FAQs on New Pressure after Shock Formation for Compression Wave

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