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Flight Speed given Thrust in Turbojet Formula

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Flight Speed refers to the velocity at which an aircraft travel through the air. Check FAQs

V = V e - \frac{T - A e \cdot (p e - p ∞)}{m a \cdot (1 + f)}

V - Flight Speed?V_e - Exit Velocity?T - Net Thrust of Turbojet?A_e - Nozzle Exit Area?p_e - Nozzle Exit Pressure?p_∞ - Ambient Pressure?m_a - Mass Flow Rate Turbojet?f - Fuel Air Ratio?

Flight Speed given Thrust in Turbojet Example

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Here is how the Flight Speed given Thrust in Turbojet equation looks like with Values.

Here is how the Flight Speed given Thrust in Turbojet equation looks like with Units.

Here is how the Flight Speed given Thrust in Turbojet equation looks like.

130.2403 = 213 - \frac{469 - 0.0589 \cdot (982 - 101)}{5 \cdot (1 + 0.008)}

130.2403m/s = 213m/s - \frac{469N - 0.0589m² \cdot (982Pa - 101Pa)}{5kg/s \cdot (1 + 0.008)}

130.2403 = 213 - \frac{469 - 0.0589 \cdot (982 - 101)}{5 \cdot (1 + 0.008)}

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Flight Speed given Thrust in Turbojet Solution

Follow our step by step solution on how to calculate Flight Speed given Thrust in Turbojet?

FIRST Step Consider the formula

V = V e - \frac{T - A e \cdot (p e - p ∞)}{m a \cdot (1 + f)}

Next Step Substitute values of Variables

∴

V = 213m/s - \frac{469N - 0.0589m² \cdot (982Pa - 101Pa)}{5kg/s \cdot (1 + 0.008)}

Next Step Prepare to Evaluate

∴

V = 213 - \frac{469 - 0.0589 \cdot (982 - 101)}{5 \cdot (1 + 0.008)}

Next Step Evaluate

∴

V = 130.240257936508m/s

LAST Step Rounding Answer

∴

V = 130.2403m/s

Flight Speed given Thrust in Turbojet Formula Elements

Variables

Flight Speed

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

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Speed

Exit Velocity

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

Symbol: V_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Exit Velocity

Net Thrust of Turbojet

Net Thrust of Turbojet denotes the total thrust or forward force exerted by the engine to propel an aircraft forward.

Symbol: T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Net Thrust of Turbojet

Nozzle Exit Area

Nozzle Exit Area refers to the cross-sectional area at the exit of a nozzle.

Symbol: A_e

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Nozzle Exit Area

Nozzle Exit Pressure

Nozzle Exit Pressure refers to the pressure at the exit of a nozzle or exhaust of a system.

Symbol: p_e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Nozzle Exit Pressure

Ambient Pressure

Ambient Pressure refers to the pressure of the surrounding environment, typically measured relative to a vacuum.

Symbol: p_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Ambient Pressure

Mass Flow Rate Turbojet

Mass Flow Rate Turbojet represents the amount of air entering a turbojet engine per unit time.

Symbol: m_a

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate Turbojet

Fuel Air Ratio

Fuel Air Ratio signifies the proportion of fuel mixed with air in a combustion system.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fuel Air Ratio

Other formulas in Turbojets category

Go Mass Flow Rate of Exhaust Gases

m total = m a + m f

Go Mass Flow Rate of Exhaust Gases given Fuel Air Ratio

m total = m a \cdot (1 + f)

How to Evaluate Flight Speed given Thrust in Turbojet?

Flight Speed given Thrust in Turbojet evaluator uses Flight Speed = Exit Velocity-(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)) to evaluate the Flight Speed, Flight Speed given Thrust in Turbojet is a measure of an aircraft's velocity, taking into account the engine's thrust, atmospheric conditions, and air resistance, providing a comprehensive estimate of an airplane's performance under various operational scenarios. Flight Speed is denoted by V symbol.

How to evaluate Flight Speed given Thrust in Turbojet using this online evaluator? To use this online evaluator for Flight Speed given Thrust in Turbojet, enter Exit Velocity (V_e), Net Thrust of Turbojet (T), Nozzle Exit Area (A_e), Nozzle Exit Pressure (p_e), Ambient Pressure (p_∞), Mass Flow Rate Turbojet (m_a) & Fuel Air Ratio (f) and hit the calculate button.

FAQs on Flight Speed given Thrust in Turbojet

What is the formula to find Flight Speed given Thrust in Turbojet?

The formula of Flight Speed given Thrust in Turbojet is expressed as Flight Speed = Exit Velocity-(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)). Here is an example- 130.2403 = 213-(469-0.0589*(982-101))/(5*(1+0.008)).

How to calculate Flight Speed given Thrust in Turbojet?

With Exit Velocity (V_e), Net Thrust of Turbojet (T), Nozzle Exit Area (A_e), Nozzle Exit Pressure (p_e), Ambient Pressure (p_∞), Mass Flow Rate Turbojet (m_a) & Fuel Air Ratio (f) we can find Flight Speed given Thrust in Turbojet using the formula - Flight Speed = Exit Velocity-(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)).

Can the Flight Speed given Thrust in Turbojet be negative?

No, the Flight Speed given Thrust in Turbojet, measured in Speed cannot be negative.

Which unit is used to measure Flight Speed given Thrust in Turbojet?

Flight Speed given Thrust in Turbojet 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 Flight Speed given Thrust in Turbojet can be measured.

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Flight Speed given Thrust in Turbojet Formula

Flight Speed given Thrust in Turbojet Example

Flight Speed given Thrust in Turbojet Solution

Flight Speed given Thrust in Turbojet Formula Elements

Other formulas in Turbojets category

How to Evaluate Flight Speed given Thrust in Turbojet?

FAQs on Flight Speed given Thrust in Turbojet

Variable Name