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Change in Kinetic Energy of Jet Engine Formula

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Change in Kinetic Energy is the difference between final and initial Kinetic energies. Check FAQs

ΔKE = \frac{((m a + m f) \cdot {V e}^{2}) - (m a \cdot V^{2})}{2}

ΔKE - Change in Kinetic Energy?m_a - Mass Flow Rate?m_f - Fuel Flow Rate?V_e - Exit Velocity?V - Flight Speed?

Change in Kinetic Energy of Jet Engine Example

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Here is how the Change in Kinetic Energy of Jet Engine equation looks like with Values.

Here is how the Change in Kinetic Energy of Jet Engine equation looks like with Units.

Here is how the Change in Kinetic Energy of Jet Engine equation looks like.

87.0389 = \frac{((3.5 + 0.0315) \cdot 248^{2}) - (3.5 \cdot 111^{2})}{2}

87.0389KJ = \frac{((3.5kg/s + 0.0315kg/s) \cdot {248m/s}^{2}) - (3.5kg/s \cdot {111m/s}^{2})}{2}

87.0389 = \frac{((3.5 + 0.0315) \cdot 248^{2}) - (3.5 \cdot 111^{2})}{2}

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Change in Kinetic Energy of Jet Engine Solution

Follow our step by step solution on how to calculate Change in Kinetic Energy of Jet Engine?

FIRST Step Consider the formula

ΔKE = \frac{((m a + m f) \cdot {V e}^{2}) - (m a \cdot V^{2})}{2}

Next Step Substitute values of Variables

∴

ΔKE = \frac{((3.5kg/s + 0.0315kg/s) \cdot {248m/s}^{2}) - (3.5kg/s \cdot {111m/s}^{2})}{2}

Next Step Prepare to Evaluate

∴

ΔKE = \frac{((3.5 + 0.0315) \cdot 248^{2}) - (3.5 \cdot 111^{2})}{2}

Next Step Evaluate

∴

ΔKE = 87038.938J

Next Step Convert to Output's Unit

∴

ΔKE = 87.038938KJ

LAST Step Rounding Answer

∴

ΔKE = 87.0389KJ

Change in Kinetic Energy of Jet Engine Formula Elements

Variables

Change in Kinetic Energy

Change in Kinetic Energy is the difference between final and initial Kinetic energies.

Symbol: ΔKE

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Change in Kinetic Energy

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

Fuel Flow Rate

Fuel Flow Rate refers to the rate at which fuel is supplied or consumed within a system over a specified period.

Symbol: m_f

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Fuel Flow Rate

Exit Velocity

Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine.

Symbol: V_e

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Exit Velocity

Flight Speed

Flight Speed refers to the velocity at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Speed

Other formulas in Efficiency Metrics category

Go Isentropic Efficiency of Expansion Machine

η T = \frac{W actual}{W s,out}

Go Net work output in simple gas turbine cycle

W Net = C p \cdot ((T 3 - T 4) - (T 2 - T 1))

Go Propulsive power

P = \frac{1}{2} \cdot ((m a + m f) \cdot {V e}^{2} - (m a \cdot V^{2}))

Go Thermal Efficiency of Jet Engines given Effective Speed Ratio

η th = \frac{{V e}^{2} \cdot (1 - α^{2})}{2 \cdot f \cdot Q}

How to Evaluate Change in Kinetic Energy of Jet Engine?

Change in Kinetic Energy of Jet Engine evaluator uses Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2))/2 to evaluate the Change in Kinetic Energy, The Change in Kinetic Energy of Jet Engine is a measure of the difference in kinetic energy of a jet engine between its initial and final states, which is a critical parameter in understanding the performance and efficiency of jet engines. Change in Kinetic Energy is denoted by ΔKE symbol.

How to evaluate Change in Kinetic Energy of Jet Engine using this online evaluator? To use this online evaluator for Change in Kinetic Energy of Jet Engine, enter Mass Flow Rate (m_a), Fuel Flow Rate (m_f), Exit Velocity (V_e) & Flight Speed (V) and hit the calculate button.

FAQs on Change in Kinetic Energy of Jet Engine

What is the formula to find Change in Kinetic Energy of Jet Engine?

The formula of Change in Kinetic Energy of Jet Engine is expressed as Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2))/2. Here is an example- 0.087039 = (((3.5+0.0315)*248^2)-(3.5*111^2))/2.

How to calculate Change in Kinetic Energy of Jet Engine?

With Mass Flow Rate (m_a), Fuel Flow Rate (m_f), Exit Velocity (V_e) & Flight Speed (V) we can find Change in Kinetic Energy of Jet Engine using the formula - Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2))/2.

Can the Change in Kinetic Energy of Jet Engine be negative?

Yes, the Change in Kinetic Energy of Jet Engine, measured in Energy can be negative.

Which unit is used to measure Change in Kinetic Energy of Jet Engine?

Change in Kinetic Energy of Jet Engine is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Change in Kinetic Energy of Jet Engine can be measured.

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Change in Kinetic Energy of Jet Engine Formula

Change in Kinetic Energy of Jet Engine Example

Change in Kinetic Energy of Jet Engine Solution

Change in Kinetic Energy of Jet Engine Formula Elements

Other formulas in Efficiency Metrics category

How to Evaluate Change in Kinetic Energy of Jet Engine?

FAQs on Change in Kinetic Energy of Jet Engine

Variable Name