Velocity of aircraft for given excess power Calculator

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✖Excess Power is defined as the difference between the power available and the power required at a particular speed and altitude of aircraft.ⓘ Excess Power [P_excess]			+10% -10%
✖Thrust denotes the force exerted by the engine to propel an aircraft forward.ⓘ Thrust [T]			+10% -10%
✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%

✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of aircraft for given excess power [v]

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Formula

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Velocity of aircraft for given excess power

Formula

`"v" = "P"_{"excess"}/("T"-"F"_{"D"})`

Example

`"60m/s"="37197.6W"/("700N"-"80.04N")`

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Velocity of aircraft for given excess power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = Excess Power/(Thrust-Drag Force)
v = P_excess/(T-F_D)
This formula uses 4 Variables

Variables Used

Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Excess Power - (Measured in Watt) - Excess Power is defined as the difference between the power available and the power required at a particular speed and altitude of aircraft.
Thrust - (Measured in Newton) - Thrust denotes the force exerted by the engine to propel an aircraft forward.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.

STEP 1: Convert Input(s) to Base Unit

Excess Power: 37197.6 Watt --> 37197.6 Watt No Conversion Required
Thrust: 700 Newton --> 700 Newton No Conversion Required
Drag Force: 80.04 Newton --> 80.04 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = P_excess/(T-F_D) --> 37197.6/(700-80.04)

Evaluating ... ...

v = 60

STEP 3: Convert Result to Output's Unit

60 Meter per Second --> No Conversion Required

FINAL ANSWER

60 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 16 Climbing Flight Calculators

Velocity in Accelerated Flight

Go Velocity = (Radius of Curvature/Mass of Aircraft*(Lift Force+Thrust*sin(Thrust Angle)-Mass of Aircraft*[g]*cos(Flight Path Angle)))^(1/2)

Lift in Accelerated Flight

Go Lift Force = Mass of Aircraft*[g]*cos(Flight Path Angle)+Mass of Aircraft*Velocity^2/Radius of Curvature-Thrust*sin(Thrust Angle)

Thrust in Accelerated Flight

Go Thrust = (sec(Thrust Angle))*(Drag Force+(Mass of Aircraft*[g]*sin(Flight Path Angle))+(Mass of Aircraft*Acceleration))

Drag in Accelerated Flight

Go Drag Force = Thrust*cos(Thrust Angle)-Mass of Aircraft*[g]*sin(Flight Path Angle)-Mass of Aircraft*Acceleration

Centrifugal Force in Accelerated Flight

Go Centrifugal Force = Lift Force+Thrust*sin(Thrust Angle)-Mass of Aircraft*[g]*cos(Flight Path Angle)

Rate of Climb of Aircraft

Go Rate of Climb = (Power Available-Power Required)/Aircraft weight

Flight path angle at given rate of climb

Go Flight Path Angle = asin(Rate of Climb/Velocity)

Velocity of aircraft at given rate of climb

Go Velocity = Rate of Climb/sin(Flight Path Angle)

Rate of Climb

Go Rate of Climb = Velocity*sin(Flight Path Angle)

Velocity of aircraft for given excess power

Go Velocity = Excess Power/(Thrust-Drag Force)

Thrust available for given excess power

Go Thrust = Drag Force+(Excess Power/Velocity)

Total Drag for given excess power

Go Drag Force = Thrust-(Excess Power/Velocity)

Excess power

Go Excess Power = Velocity*(Thrust-Drag Force)

Weight of aircraft for given excess power

Go Aircraft weight = Excess Power/Rate of Climb

Excess power for given rate of climb

Go Excess Power = Rate of Climb*Aircraft weight

Rate of Climb for given excess power

Go Rate of Climb = Excess Power/Aircraft weight

Velocity of aircraft for given excess power Formula

Velocity = Excess Power/(Thrust-Drag Force)
v = P_excess/(T-F_D)

How do aircraft performance parameters vary?

The variation of aircraft performance parameters such as climb rate, acceleration capability, range varies significantly based on aircraft speed and altitude.

How to Calculate Velocity of aircraft for given excess power?

Velocity of aircraft for given excess power calculator uses Velocity = Excess Power/(Thrust-Drag Force) to calculate the Velocity, The Velocity of aircraft for given excess power is the airspeed required to maintain a given rate of climb, considering the excess power available and the balance between thrust and drag forces during climb flight, it calculates the velocity required for a given rate of climb based on excess power, thrust during climb, and drag force during climb. Velocity is denoted by v symbol.

How to calculate Velocity of aircraft for given excess power using this online calculator? To use this online calculator for Velocity of aircraft for given excess power, enter Excess Power (P_excess), Thrust (T) & Drag Force (F_D) and hit the calculate button. Here is how the Velocity of aircraft for given excess power calculation can be explained with given input values -> 60.0029 = 37197.6/(700-80.04).

FAQ

What is Velocity of aircraft for given excess power?

The Velocity of aircraft for given excess power is the airspeed required to maintain a given rate of climb, considering the excess power available and the balance between thrust and drag forces during climb flight, it calculates the velocity required for a given rate of climb based on excess power, thrust during climb, and drag force during climb and is represented as v = P_excess/(T-F_D) or Velocity = Excess Power/(Thrust-Drag Force). Excess Power is defined as the difference between the power available and the power required at a particular speed and altitude of aircraft, Thrust denotes the force exerted by the engine to propel an aircraft forward & Drag Force is the resisting force experienced by an object moving through a fluid.

How to calculate Velocity of aircraft for given excess power?

The Velocity of aircraft for given excess power is the airspeed required to maintain a given rate of climb, considering the excess power available and the balance between thrust and drag forces during climb flight, it calculates the velocity required for a given rate of climb based on excess power, thrust during climb, and drag force during climb is calculated using Velocity = Excess Power/(Thrust-Drag Force). To calculate Velocity of aircraft for given excess power, you need Excess Power (P_excess), Thrust (T) & Drag Force (F_D). With our tool, you need to enter the respective value for Excess Power, Thrust & Drag Force and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity?

In this formula, Velocity uses Excess Power, Thrust & Drag Force. We can use 2 other way(s) to calculate the same, which is/are as follows -

Velocity = Rate of Climb/sin(Flight Path Angle)
Velocity = (Radius of Curvature/Mass of Aircraft*(Lift Force+Thrust*sin(Thrust Angle)-Mass of Aircraft*[g]*cos(Flight Path Angle)))^(1/2)

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