Rate of Climb Calculator

✖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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Climbing Flight Formulas PDF PDF Image

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 00.007 seconds)

You are here -

Home » Physics » Aircraft Mechanics » Aircraft Performance » Aerospace » Climbing Flight » Rate of Climb

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!

< Climbing Flight Calculators

Flight path angle at given rate of climb

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

Velocity of aircraft at given rate of climb

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

Rate of Climb

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

Weight of Aircraft for given Excess Power

LaTeX Go Aircraft Weight = Excess Power/Rate of Climb

Rate of Climb Formula

LaTeX Go

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 is the vertical speed at which an aircraft ascends. This formula calculates the rate of climb based on the aircraft's velocity and the sine of the flight path angle during the climb. Understanding and applying this formula is essential for pilots and engineers to optimize ascent performance, ensuring efficient and safe climb operations. 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 is the vertical speed at which an aircraft ascends. This formula calculates the rate of climb based on the aircraft's velocity and the sine of the flight path angle during the climb. Understanding and applying this formula is essential for pilots and engineers to optimize ascent performance, ensuring efficient and safe climb operations 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 is the vertical speed at which an aircraft ascends. This formula calculates the rate of climb based on the aircraft's velocity and the sine of the flight path angle during the climb. Understanding and applying this formula is essential for pilots and engineers to optimize ascent performance, ensuring efficient and safe climb operations 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

Home

FREE PDFs

🔍 Search