Rate of Climb Calculator

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Aircraft Performance

Aircraft Design

Introduction and Governing Equations

Static Stability and Control

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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%
✖Flight path angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.ⓘ Flight Path Angle [γ]			+10% -10%

✖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.ⓘ Rate of Climb [RC]

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Formula

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Rate of Climb

Formula

`"RC" = "v"*sin("γ")`

Example

`"3.717617m/s"="60m/s"*sin("0.062rad")`

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Rate of Climb Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Climb = Velocity*sin(Flight Path Angle)
RC = v*sin(γ)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

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.
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.
Flight Path Angle - (Measured in Radian) - Flight path angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.

STEP 1: Convert Input(s) to Base Unit

Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Flight Path Angle: 0.062 Radian --> 0.062 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RC = v*sin(γ) --> 60*sin(0.062)

Evaluating ... ...

RC = 3.71761717802449

STEP 3: Convert Result to Output's Unit

3.71761717802449 Meter per Second --> No Conversion Required

FINAL ANSWER

3.71761717802449 ≈ 3.717617 Meter per Second <-- Rate of Climb

(Calculation completed in 00.019 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 Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna 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

Rate of Climb Formula

Rate of Climb = Velocity*sin(Flight Path Angle)
RC = v*sin(γ)

How is the Rate of Climb indicated in an aircraft?

The Rate of Climb in an aircraft is indicated with a vertical speed indicator (VSI) or instantaneous vertical speed indicator (IVSI).

How to Calculate Rate of Climb?

Rate of Climb calculator uses Rate of Climb = Velocity*sin(Flight Path Angle) to calculate the Rate of Climb, The Rate of Climb for an aircraft is defined as the product of the velocity of aircraft and sine of flight path angle. Rate of Climb is denoted by RC symbol.

How to calculate Rate of Climb using this online calculator? To use this online calculator for Rate of Climb, enter Velocity (v) & Flight Path Angle (γ) and hit the calculate button. Here is how the Rate of Climb calculation can be explained with given input values -> 3.717617 = 60*sin(0.062).

FAQ

What is Rate of Climb?

The Rate of Climb for an aircraft is defined as the product of the velocity of aircraft and sine of flight path angle and is represented as RC = v*sin(γ) or Rate of Climb = Velocity*sin(Flight Path Angle). 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 & Flight path angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.

How to calculate Rate of Climb?

The Rate of Climb for an aircraft is defined as the product of the velocity of aircraft and sine of flight path angle is calculated using Rate of Climb = Velocity*sin(Flight Path Angle). To calculate Rate of Climb, you need Velocity (v) & Flight Path Angle (γ). With our tool, you need to enter the respective value for Velocity & Flight Path Angle 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 Rate of Climb?

In this formula, Rate of Climb uses Velocity & Flight Path Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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