Excess power Calculator

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Aircraft Performance

Aircraft Design

Introduction and Governing Equations

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✖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 [v]			+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%

✖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]

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Formula

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Excess power

Formula

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

Example

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

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Excess power Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Velocity: 60 Meter per Second --> 60 Meter per Second 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

P_excess = v*(T-F_D) --> 60*(700-80.04)

Evaluating ... ...

P_excess = 37197.6

STEP 3: Convert Result to Output's Unit

37197.6 Watt --> No Conversion Required

FINAL ANSWER

37197.6 Watt <-- Excess Power

(Calculation completed in 00.004 seconds)

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Credits

Created by Vinay Mishra

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

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 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

Excess power Formula

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

What is excess thrust?

The thrust minus the drag of the aircraft is called the excess thrust of the aircraft and is also a vector quantity.

How to Calculate Excess power?

Excess power calculator uses Excess Power = Velocity*(Thrust-Drag Force) to calculate the Excess Power, The Excess power refers to the surplus power available to an aircraft beyond what is required to maintain level flight at a specific speed and altitude, it is particularly important during critical phases of flight, such as takeoff, climb, and maneuvering. Excess Power is denoted by P_excess symbol.

How to calculate Excess power using this online calculator? To use this online calculator for Excess power, enter Velocity (v), Thrust (T) & Drag Force (F_D) and hit the calculate button. Here is how the Excess power calculation can be explained with given input values -> 37197.6 = 60*(700-80.04).

FAQ

What is Excess power?

The Excess power refers to the surplus power available to an aircraft beyond what is required to maintain level flight at a specific speed and altitude, it is particularly important during critical phases of flight, such as takeoff, climb, and maneuvering and is represented as P_excess = v*(T-F_D) or Excess Power = Velocity*(Thrust-Drag Force). 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, 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 Excess power?

The Excess power refers to the surplus power available to an aircraft beyond what is required to maintain level flight at a specific speed and altitude, it is particularly important during critical phases of flight, such as takeoff, climb, and maneuvering is calculated using Excess Power = Velocity*(Thrust-Drag Force). To calculate Excess power, you need Velocity (v), Thrust (T) & Drag Force (F_D). With our tool, you need to enter the respective value for Velocity, 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 Excess Power?

In this formula, Excess Power uses Velocity, Thrust & Drag Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

Excess Power = Rate of Climb*Aircraft weight

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