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Characteristics Velocity Formula

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Characteristics Velocity is a measure of the effectiveness with which the combustion in a rocket engine produces high temperature and pressure. Check FAQs

C ✸ = \sqrt{(\frac{[R] \cdot T 1}{γ}) \cdot {(\frac{γ + 1}{2})}^{\frac{γ + 1}{γ - 1}}}

C^✸ - Characteristics Velocity?T₁ - Temperature at Chamber?γ - Specific Heat Ratio?[R] - Universal gas constant?

Characteristics Velocity Example

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

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

Here is how the Characteristics Velocity equation looks like.

68.5902 = \sqrt{(\frac{8.3145 \cdot 256}{1.33}) \cdot {(\frac{1.33 + 1}{2})}^{\frac{1.33 + 1}{1.33 - 1}}}

68.5902m/s = \sqrt{(\frac{8.3145 \cdot 256K}{1.33}) \cdot {(\frac{1.33 + 1}{2})}^{\frac{1.33 + 1}{1.33 - 1}}}

68.5902 = \sqrt{(\frac{8.3145 \cdot 256}{1.33}) \cdot {(\frac{1.33 + 1}{2})}^{\frac{1.33 + 1}{1.33 - 1}}}

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Characteristics Velocity Solution

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

FIRST Step Consider the formula

C ✸ = \sqrt{(\frac{[R] \cdot T 1}{γ}) \cdot {(\frac{γ + 1}{2})}^{\frac{γ + 1}{γ - 1}}}

Next Step Substitute values of Variables

∴

C ✸ = \sqrt{(\frac{[R] \cdot 256K}{1.33}) \cdot {(\frac{1.33 + 1}{2})}^{\frac{1.33 + 1}{1.33 - 1}}}

Next Step Substitute values of Constants

∴

C ✸ = \sqrt{(\frac{8.3145 \cdot 256K}{1.33}) \cdot {(\frac{1.33 + 1}{2})}^{\frac{1.33 + 1}{1.33 - 1}}}

Next Step Prepare to Evaluate

∴

C ✸ = \sqrt{(\frac{8.3145 \cdot 256}{1.33}) \cdot {(\frac{1.33 + 1}{2})}^{\frac{1.33 + 1}{1.33 - 1}}}

Next Step Evaluate

∴

C ✸ = 68.5901685380425m/s

LAST Step Rounding Answer

∴

C ✸ = 68.5902m/s

Characteristics Velocity Formula Elements

Variables

Constants

Functions

Characteristics Velocity

Characteristics Velocity is a measure of the effectiveness with which the combustion in a rocket engine produces high temperature and pressure.

Symbol: C^✸

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Characteristics Velocity

Temperature at Chamber

Temperature at Chamber typically refers to the temperature inside a closed chamber or enclosure.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Chamber

Specific Heat Ratio

The specific heat ratio describes the ratio of specific heats of a gas at constant pressure to that at constant volume.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Heat Ratio

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

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 Nozzles category

Go Propulsion Efficiency

η prop = \frac{2 \cdot (\frac{v 0}{v 9})}{1 + {(\frac{v 0}{v 9})}^{2}}

Go Specific Volume at Throat

V t = V 1 \cdot {(\frac{γ + 1}{2})}^{\frac{1}{γ - 1}}

Go Specific Temperature at Throat

T t = \frac{2 \cdot T 1}{γ + 1}

Go Nozzle Thrust Coefficient

C F = \frac{F}{A t \cdot P 1}

How to Evaluate Characteristics Velocity?

Characteristics Velocity evaluator uses Characteristics Velocity = sqrt((([R]*Temperature at Chamber)/Specific Heat Ratio)*((Specific Heat Ratio+1)/2)^((Specific Heat Ratio+1)/(Specific Heat Ratio-1))) to evaluate the Characteristics Velocity, Characteristics Velocity is a measure of the combustion performance of a rocket engine independent of nozzle performance, and is used to compare different propellants and propulsion systems. Characteristics Velocity is denoted by C^✸ symbol.

How to evaluate Characteristics Velocity using this online evaluator? To use this online evaluator for Characteristics Velocity, enter Temperature at Chamber (T₁) & Specific Heat Ratio (γ) and hit the calculate button.

FAQs on Characteristics Velocity

What is the formula to find Characteristics Velocity?

The formula of Characteristics Velocity is expressed as Characteristics Velocity = sqrt((([R]*Temperature at Chamber)/Specific Heat Ratio)*((Specific Heat Ratio+1)/2)^((Specific Heat Ratio+1)/(Specific Heat Ratio-1))). Here is an example- 68.59017 = sqrt((([R]*256)/1.33)*((1.33+1)/2)^((1.33+1)/(1.33-1))).

How to calculate Characteristics Velocity?

With Temperature at Chamber (T₁) & Specific Heat Ratio (γ) we can find Characteristics Velocity using the formula - Characteristics Velocity = sqrt((([R]*Temperature at Chamber)/Specific Heat Ratio)*((Specific Heat Ratio+1)/2)^((Specific Heat Ratio+1)/(Specific Heat Ratio-1))). This formula also uses Universal gas constant and Square Root (sqrt) function(s).

Can the Characteristics Velocity be negative?

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

Which unit is used to measure Characteristics Velocity?

Characteristics 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 Characteristics Velocity can be measured.

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Characteristics Velocity Formula

Characteristics Velocity Example

Characteristics Velocity Solution

Characteristics Velocity Formula Elements

Other formulas in Nozzles category

How to Evaluate Characteristics Velocity?

FAQs on Characteristics Velocity

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