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Effective Exhaust Velocity of Rocket Formula

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Effective exhaust velocity is the velocity of a rocket's exhaust relative to the rocket. Check FAQs

c = V e + (p 2 - p 3) \cdot \frac{A 2}{ṁ}

c - Effective Exhaust Velocity?V_e - Jet Velocity?p₂ - Nozzle Exit Pressure?p₃ - Atmospheric Pressure?A₂ - Exit Area?ṁ - Propellant Mass Flow Rate?

Effective Exhaust Velocity of Rocket Example

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Here is how the Effective Exhaust Velocity of Rocket equation looks like with Values.

Here is how the Effective Exhaust Velocity of Rocket equation looks like with Units.

Here is how the Effective Exhaust Velocity of Rocket equation looks like.

178110.402 = 118.644 + (1.239 - 0.1013) \cdot \frac{1.771}{11.32}

178110.402m/s = 118.644m/s + (1.239MPa - 0.1013MPa) \cdot \frac{1.771m²}{11.32kg/s}

178110.402 = 118.644 + (1.239 - 0.1013) \cdot \frac{1.771}{11.32}

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Effective Exhaust Velocity of Rocket Solution

Follow our step by step solution on how to calculate Effective Exhaust Velocity of Rocket?

FIRST Step Consider the formula

c = V e + (p 2 - p 3) \cdot \frac{A 2}{ṁ}

Next Step Substitute values of Variables

∴

c = 118.644m/s + (1.239MPa - 0.1013MPa) \cdot \frac{1.771m²}{11.32kg/s}

Next Step Convert Units

∴

c = 118.644m/s + (1.2E+6Pa - 101300Pa) \cdot \frac{1.771m²}{11.32kg/s}

Next Step Prepare to Evaluate

∴

c = 118.644 + (1.2E+6 - 101300) \cdot \frac{1.771}{11.32}

Next Step Evaluate

∴

c = 178110.40195053m/s

LAST Step Rounding Answer

∴

c = 178110.402m/s

Effective Exhaust Velocity of Rocket Formula Elements

Variables

Effective Exhaust Velocity

Effective exhaust velocity is the velocity of a rocket's exhaust relative to the rocket.

Symbol: c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Effective Exhaust Velocity

Jet Velocity

Jet Velocity is the effective exhaust velocity.

Symbol: V_e

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Jet Velocity

Nozzle Exit Pressure

The Nozzle Exit Pressure in rocketry refers to the pressure of the exhaust gases at the exit of the rocket engine nozzle.

Symbol: p₂

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Nozzle Exit Pressure

Atmospheric Pressure

Atmospheric pressure, also known as air pressure or barometric pressure, is the force per unit area exerted by the weight of the Earth's atmosphere above a given point.

Symbol: p₃

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Atmospheric Pressure

Exit Area

The Exit Area in rocketry refers to the cross-sectional area at the exit of the rocket engine nozzle, where the exhaust gases are expelled into the surrounding environment.

Symbol: A₂

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Exit Area

Propellant Mass Flow Rate

The Propellant Mass Flow Rate refers to the amount of mass that flows through a given point in the rocket propulsion system per unit time.

Symbol: ṁ

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Propellant Mass Flow Rate

Other formulas in Theory Of Rockets category

Go Total Velocity Required to Place Satellite in Orbit

V T = \sqrt{\frac{[G.] \cdot M E \cdot (R E + 2 \cdot h)}{R E \cdot (R E + h)}}

Go Velocity Increment of Rocket

ΔV = V e \cdot \ln (\frac{m i}{m final})

Go Rocket Exhaust Gas Velocity

V e = \sqrt{(\frac{2 \cdot γ}{γ - 1}) \cdot [R] \cdot T 1 \cdot (1 - {(\frac{p 2}{p 1})}^{\frac{γ - 1}{γ}})}

Go Structural Mass Fraction

σ = \frac{m s}{m p + m s}

How to Evaluate Effective Exhaust Velocity of Rocket?

Effective Exhaust Velocity of Rocket evaluator uses Effective Exhaust Velocity = Jet Velocity+(Nozzle Exit Pressure-Atmospheric Pressure)*Exit Area/Propellant Mass Flow Rate to evaluate the Effective Exhaust Velocity, The Effective Exhaust Velocity of Rocket is the velocity of an exhaust stream after reduction by effects such as friction, non-axially directed flow, and pressure differences between the inside of the rocket and its surroundings. Effective Exhaust Velocity is denoted by c symbol.

How to evaluate Effective Exhaust Velocity of Rocket using this online evaluator? To use this online evaluator for Effective Exhaust Velocity of Rocket, enter Jet Velocity (V_e), Nozzle Exit Pressure (p₂), Atmospheric Pressure (p₃), Exit Area (A₂) & Propellant Mass Flow Rate (ṁ) and hit the calculate button.

FAQs on Effective Exhaust Velocity of Rocket

What is the formula to find Effective Exhaust Velocity of Rocket?

The formula of Effective Exhaust Velocity of Rocket is expressed as Effective Exhaust Velocity = Jet Velocity+(Nozzle Exit Pressure-Atmospheric Pressure)*Exit Area/Propellant Mass Flow Rate. Here is an example- 177909.4 = 118.644+(1239000-101300)*1.771/11.32.

How to calculate Effective Exhaust Velocity of Rocket?

With Jet Velocity (V_e), Nozzle Exit Pressure (p₂), Atmospheric Pressure (p₃), Exit Area (A₂) & Propellant Mass Flow Rate (ṁ) we can find Effective Exhaust Velocity of Rocket using the formula - Effective Exhaust Velocity = Jet Velocity+(Nozzle Exit Pressure-Atmospheric Pressure)*Exit Area/Propellant Mass Flow Rate.

Can the Effective Exhaust Velocity of Rocket be negative?

No, the Effective Exhaust Velocity of Rocket, measured in Speed cannot be negative.

Which unit is used to measure Effective Exhaust Velocity of Rocket?

Effective Exhaust Velocity of Rocket 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 Effective Exhaust Velocity of Rocket can be measured.

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Effective Exhaust Velocity of Rocket Formula

Effective Exhaust Velocity of Rocket Example

Effective Exhaust Velocity of Rocket Solution

Effective Exhaust Velocity of Rocket Formula Elements

Other formulas in Theory Of Rockets category

How to Evaluate Effective Exhaust Velocity of Rocket?

FAQs on Effective Exhaust Velocity of Rocket

Variable Name