Weight of aircraft for given excess power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Aircraft weight = Excess Power/Rate of Climb
W = Pexcess/RC
This formula uses 3 Variables
Variables Used
Aircraft weight - (Measured in Newton) - Aircraft weight is the total aircraft weight at any moment during the flight or ground operation.
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.
Rate of Climb - (Measured in Meter per Second) - The Rate of Climb (RoC) is defined as the aircraft's vertical speed – the positive or negative rate of altitude change with respect to time.
STEP 1: Convert Input(s) to Base Unit
Excess Power: 37197.6 Watt --> 37197.6 Watt No Conversion Required
Rate of Climb: 3.71976 Meter per Second --> 3.71976 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
W = Pexcess/RC --> 37197.6/3.71976
Evaluating ... ...
W = 10000
STEP 3: Convert Result to Output's Unit
10000 Newton --> No Conversion Required
FINAL ANSWER
10000 Newton <-- Aircraft weight
(Calculation completed in 00.004 seconds)

Credits

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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

Weight of aircraft for given excess power Formula

Aircraft weight = Excess Power/Rate of Climb
W = Pexcess/RC

What angle do planes take off?

Planes slowly angle up during take off at about 2-3 degrees per second for a Boeing 747. The average passenger plane has a maximum take-off angle of about 10-15 degrees.

How to Calculate Weight of aircraft for given excess power?

Weight of aircraft for given excess power calculator uses Aircraft weight = Excess Power/Rate of Climb to calculate the Aircraft weight, The Weight of aircraft for given excess power refers to the force exerted by gravity on the mass of the aircraft, it's the sum of the mass of all components of the aircraft, including the airframe, payload (passengers, cargo), fuel, and any other items onboard, this equation suggests that the weight of the aircraft can be calculated based on the excess power available during climb flight and the rate of climb. Aircraft weight is denoted by W symbol.

How to calculate Weight of aircraft for given excess power using this online calculator? To use this online calculator for Weight of aircraft for given excess power, enter Excess Power (Pexcess) & Rate of Climb (RC) and hit the calculate button. Here is how the Weight of aircraft for given excess power calculation can be explained with given input values -> 10007.43 = 37197.6/3.71976.

FAQ

What is Weight of aircraft for given excess power?
The Weight of aircraft for given excess power refers to the force exerted by gravity on the mass of the aircraft, it's the sum of the mass of all components of the aircraft, including the airframe, payload (passengers, cargo), fuel, and any other items onboard, this equation suggests that the weight of the aircraft can be calculated based on the excess power available during climb flight and the rate of climb and is represented as W = Pexcess/RC or Aircraft weight = Excess Power/Rate of Climb. Excess Power is defined as the difference between the power available and the power required at a particular speed and altitude of aircraft & The Rate of Climb (RoC) is defined as the aircraft's vertical speed – the positive or negative rate of altitude change with respect to time.
How to calculate Weight of aircraft for given excess power?
The Weight of aircraft for given excess power refers to the force exerted by gravity on the mass of the aircraft, it's the sum of the mass of all components of the aircraft, including the airframe, payload (passengers, cargo), fuel, and any other items onboard, this equation suggests that the weight of the aircraft can be calculated based on the excess power available during climb flight and the rate of climb is calculated using Aircraft weight = Excess Power/Rate of Climb. To calculate Weight of aircraft for given excess power, you need Excess Power (Pexcess) & Rate of Climb (RC). With our tool, you need to enter the respective value for Excess Power & Rate of Climb 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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