Flight Speed given Thrust in Turbojet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flight Speed = Exit Velocity-(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio))
V = Ve-(T-Ae*(pe-p))/(ma*(1+f))
This formula uses 8 Variables
Variables Used
Flight Speed - (Measured in Meter per Second) - Flight Speed refers to the velocity at which an aircraft travel through the air.
Exit Velocity - (Measured in Meter per Second) - Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a turbojet engine.
Net Thrust of Turbojet - (Measured in Newton) - Net Thrust of Turbojet denotes the total thrust or forward force exerted by the engine to propel an aircraft forward.
Nozzle Exit Area - (Measured in Square Meter) - Nozzle Exit Area refers to the cross-sectional area at the exit of a nozzle.
Nozzle Exit Pressure - (Measured in Pascal) - Nozzle Exit Pressure refers to the pressure at the exit of a nozzle or exhaust of a system.
Ambient Pressure - (Measured in Pascal) - Ambient Pressure refers to the pressure of the surrounding environment, typically measured relative to a vacuum.
Mass Flow Rate Turbojet - (Measured in Kilogram per Second) - Mass Flow Rate Turbojet represents the amount of air entering a turbojet engine per unit time.
Fuel Air Ratio - Fuel Air Ratio signifies the proportion of fuel mixed with air in a combustion system.
STEP 1: Convert Input(s) to Base Unit
Exit Velocity: 213 Meter per Second --> 213 Meter per Second No Conversion Required
Net Thrust of Turbojet: 469 Newton --> 469 Newton No Conversion Required
Nozzle Exit Area: 0.0589 Square Meter --> 0.0589 Square Meter No Conversion Required
Nozzle Exit Pressure: 982 Pascal --> 982 Pascal No Conversion Required
Ambient Pressure: 101 Pascal --> 101 Pascal No Conversion Required
Mass Flow Rate Turbojet: 5 Kilogram per Second --> 5 Kilogram per Second No Conversion Required
Fuel Air Ratio: 0.008 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Ve-(T-Ae*(pe-p))/(ma*(1+f)) --> 213-(469-0.0589*(982-101))/(5*(1+0.008))
Evaluating ... ...
V = 130.240257936508
STEP 3: Convert Result to Output's Unit
130.240257936508 Meter per Second --> No Conversion Required
FINAL ANSWER
130.240257936508 130.2403 Meter per Second <-- Flight Speed
(Calculation completed in 00.004 seconds)

Credits

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Created by Himanshu Sharma
National Institute of Technology, Hamirpur (NITH), Himachal Pradesh
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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Turbojets Calculators

Nozzle Exit Area in Turbojet
​ LaTeX ​ Go Nozzle Exit Area = (Net Thrust of Turbojet-Mass Flow Rate Turbojet*(1+Fuel Air Ratio)*(Exit Velocity-Flight Speed))/(Nozzle Exit Pressure-Ambient Pressure)
Turbojet Gross Thrust
​ LaTeX ​ Go Gross Thrust of Turbojet = Mass Flow Rate Turbojet*(1+Fuel Air Ratio)*Exit Velocity+(Nozzle Exit Pressure-Ambient Pressure)*Nozzle Exit Area
Mass Flow Rate of Exhaust Gases given Fuel Air Ratio
​ LaTeX ​ Go Total Mass Flow Rate Turbojet = Mass Flow Rate Turbojet*(1+Fuel Air Ratio)
Mass Flow Rate of Exhaust Gases
​ LaTeX ​ Go Total Mass Flow Rate Turbojet = Mass Flow Rate Turbojet+Fuel Flow Rate

Flight Speed given Thrust in Turbojet Formula

​LaTeX ​Go
Flight Speed = Exit Velocity-(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio))
V = Ve-(T-Ae*(pe-p))/(ma*(1+f))

What is flight speed?

In aviation, V-speeds are standard terms used to define airspeeds important or useful to the operation of all aircraft.

How to Calculate Flight Speed given Thrust in Turbojet?

Flight Speed given Thrust in Turbojet calculator 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 calculate 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 calculate Flight Speed given Thrust in Turbojet using this online calculator? To use this online calculator for Flight Speed given Thrust in Turbojet, enter Exit Velocity (Ve), Net Thrust of Turbojet (T), Nozzle Exit Area (Ae), Nozzle Exit Pressure (pe), Ambient Pressure (p), Mass Flow Rate Turbojet (ma) & Fuel Air Ratio (f) and hit the calculate button. Here is how the Flight Speed given Thrust in Turbojet calculation can be explained with given input values -> 130.2403 = 213-(469-0.0589*(982-101))/(5*(1+0.008)).

FAQ

What is Flight Speed given Thrust in Turbojet?
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 and is represented as V = Ve-(T-Ae*(pe-p))/(ma*(1+f)) or Flight Speed = Exit Velocity-(Net Thrust of Turbojet-Nozzle Exit Area*(Nozzle Exit Pressure-Ambient Pressure))/(Mass Flow Rate Turbojet*(1+Fuel Air Ratio)). Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a turbojet engine, Net Thrust of Turbojet denotes the total thrust or forward force exerted by the engine to propel an aircraft forward, Nozzle Exit Area refers to the cross-sectional area at the exit of a nozzle, Nozzle Exit Pressure refers to the pressure at the exit of a nozzle or exhaust of a system, Ambient Pressure refers to the pressure of the surrounding environment, typically measured relative to a vacuum, Mass Flow Rate Turbojet represents the amount of air entering a turbojet engine per unit time & Fuel Air Ratio signifies the proportion of fuel mixed with air in a combustion system.
How to calculate Flight Speed given Thrust in Turbojet?
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 is calculated using 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 calculate Flight Speed given Thrust in Turbojet, you need Exit Velocity (Ve), Net Thrust of Turbojet (T), Nozzle Exit Area (Ae), Nozzle Exit Pressure (pe), Ambient Pressure (p), Mass Flow Rate Turbojet (ma) & Fuel Air Ratio (f). With our tool, you need to enter the respective value for Exit Velocity, Net Thrust of Turbojet, Nozzle Exit Area, Nozzle Exit Pressure, Ambient Pressure, Mass Flow Rate Turbojet & Fuel Air Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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