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Power required to produce Exhaust Jet Velocity Formula

GoPower required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration Formula

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Power Required is the amount of power required to do work. Check FAQs

P = \frac{1}{2} \cdot m a \cdot {C j}^{2}

P - Power Required?m_a - Mass Flow Rate?C_j - Exit Velocity?

Power required to produce Exhaust Jet Velocity Example

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With units

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Here is how the Power required to produce Exhaust Jet Velocity equation looks like with Values.

Here is how the Power required to produce Exhaust Jet Velocity equation looks like with Units.

Here is how the Power required to produce Exhaust Jet Velocity equation looks like.

722.3645 = \frac{1}{2} \cdot 23.49 \cdot 248^{2}

722.3645kW = \frac{1}{2} \cdot 23.49kg/s \cdot {248m/s}^{2}

722.3645 = \frac{1}{2} \cdot 23.49 \cdot 248^{2}

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Power required to produce Exhaust Jet Velocity Solution

Follow our step by step solution on how to calculate Power required to produce Exhaust Jet Velocity?

FIRST Step Consider the formula

P = \frac{1}{2} \cdot m a \cdot {C j}^{2}

Next Step Substitute values of Variables

∴

P = \frac{1}{2} \cdot 23.49kg/s \cdot {248m/s}^{2}

Next Step Prepare to Evaluate

∴

P = \frac{1}{2} \cdot 23.49 \cdot 248^{2}

Next Step Evaluate

∴

P = 722364.48W

Next Step Convert to Output's Unit

∴

P = 722.36448kW

LAST Step Rounding Answer

∴

P = 722.3645kW

Power required to produce Exhaust Jet Velocity Formula Elements

Variables

Power Required

Power Required is the amount of power required to do work.

Symbol: P

Measurement: PowerUnit: kW

Note: Value can be positive or negative.

Formulas to find Power Required

Mass Flow Rate

Mass Flow Rate represents the amount of mass passing through a system per unit of time.

Symbol: m_a

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate

Exit Velocity

Exit Velocity is the speed at which exhaust gases exit the primary nozzle of a propulsion system, such as a rocket or jet engine.

Symbol: C_j

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Exit Velocity

Other Formulas to find Power Required

Go Power required to produce Exhaust Jet Velocity given Mass of Rocket and Acceleration

P = \frac{m \cdot a \cdot V eff}{2}

Other formulas in Thrust and Power Generation category

Go Thrust given Exhaust Velocity and Mass Flow Rate

F = m a \cdot C j

Go Thrust given Mass and Acceleration of Rocket

F = m \cdot a

Go Acceleration of Rocket

a = \frac{F}{m}

Go Photon Propulsion Thrust

F = 1000 \cdot \frac{P e}{[c]}

How to Evaluate Power required to produce Exhaust Jet Velocity?

Power required to produce Exhaust Jet Velocity evaluator uses Power Required = 1/2*Mass Flow Rate*Exit Velocity^2 to evaluate the Power Required, Power required to produce Exhaust Jet Velocity formula is defined as the measure of energy needed to generate a specific exhaust jet velocity in rocket propulsion systems, reflecting the efficiency and performance of the propulsion mechanism. Power Required is denoted by P symbol.

How to evaluate Power required to produce Exhaust Jet Velocity using this online evaluator? To use this online evaluator for Power required to produce Exhaust Jet Velocity, enter Mass Flow Rate (m_a) & Exit Velocity (C_j) and hit the calculate button.

FAQs on Power required to produce Exhaust Jet Velocity

What is the formula to find Power required to produce Exhaust Jet Velocity?

The formula of Power required to produce Exhaust Jet Velocity is expressed as Power Required = 1/2*Mass Flow Rate*Exit Velocity^2. Here is an example- 0.722364 = 1/2*23.49*248^2.

How to calculate Power required to produce Exhaust Jet Velocity?

With Mass Flow Rate (m_a) & Exit Velocity (C_j) we can find Power required to produce Exhaust Jet Velocity using the formula - Power Required = 1/2*Mass Flow Rate*Exit Velocity^2.

What are the other ways to Calculate Power Required?

Here are the different ways to Calculate Power Required-

Power Required=(Mass of Rocket*Acceleration*Effective Exhaust Velocity of Rocket)/2

Can the Power required to produce Exhaust Jet Velocity be negative?

Yes, the Power required to produce Exhaust Jet Velocity, measured in Power can be negative.

Which unit is used to measure Power required to produce Exhaust Jet Velocity?

Power required to produce Exhaust Jet Velocity is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Power required to produce Exhaust Jet Velocity can be measured.

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