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Rate of Climb Formula

GoRate of Climb for given excess power Formula

GoRate of Climb of Aircraft Formula

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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. Check FAQs

RC = v \cdot \sin (γ)

RC - Rate of Climb?v - Velocity?γ - Flight Path Angle?

Rate of Climb Example

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Here is how the Rate of Climb equation looks like with Values.

Here is how the Rate of Climb equation looks like with Units.

Here is how the Rate of Climb equation looks like.

3.7176 = 60 \cdot \sin (0.062)

3.7176m/s = 60m/s \cdot \sin (0.062rad)

3.7176 = 60 \cdot \sin (0.062)

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Rate of Climb Solution

Follow our step by step solution on how to calculate Rate of Climb?

FIRST Step Consider the formula

RC = v \cdot \sin (γ)

Next Step Substitute values of Variables

∴

RC = 60m/s \cdot \sin (0.062rad)

Next Step Prepare to Evaluate

∴

RC = 60 \cdot \sin (0.062)

Next Step Evaluate

∴

RC = 3.71761717802449m/s

LAST Step Rounding Answer

∴

RC = 3.7176m/s

Rate of Climb Formula Elements

Variables

Functions

Rate of Climb

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.

Symbol: RC

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Rate of Climb

Velocity

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.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

Flight Path Angle

Flight Path Angle is defined as the angle between horizontal and the flight velocity vector, which describes whether the aircraft is climbing or descending.

Symbol: γ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Flight Path Angle

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.

Syntax: sin(Angle)

Other Formulas to find Rate of Climb

Go Rate of Climb for given excess power

RC = \frac{P excess}{W}

Go Rate of Climb of Aircraft

RC = \frac{P a - P r}{W}

Other formulas in Climbing Flight category

Go Flight path angle at given rate of climb

γ = a \sin (\frac{RC}{v})

Go Velocity of aircraft at given rate of climb

v = \frac{RC}{\sin (γ)}

Go Weight of Aircraft for given Excess Power

W = \frac{P excess}{RC}

Go Excess power for given rate of climb

P excess = RC \cdot W

How to Evaluate Rate of Climb?

Rate of Climb evaluator uses Rate of Climb = Velocity*sin(Flight Path Angle) to evaluate 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 evaluate Rate of Climb using this online evaluator? To use this online evaluator for Rate of Climb, enter Velocity (v) & Flight Path Angle (γ) and hit the calculate button.

FAQs on Rate of Climb

What is the formula to find Rate of Climb?

The formula of Rate of Climb is expressed as Rate of Climb = Velocity*sin(Flight Path Angle). Here is an example- 3.717617 = 60*sin(0.062).

How to calculate Rate of Climb?

With Velocity (v) & Flight Path Angle (γ) we can find Rate of Climb using the formula - Rate of Climb = Velocity*sin(Flight Path Angle). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Rate of Climb?

Here are the different ways to Calculate Rate of Climb-

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

Can the Rate of Climb be negative?

No, the Rate of Climb, measured in Speed cannot be negative.

Which unit is used to measure Rate of Climb?

Rate of Climb is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Rate of Climb can be measured.

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Rate of Climb Formula

​GoRate of Climb for given excess power Formula

​GoRate of Climb of Aircraft Formula

Rate of Climb Example

Rate of Climb Solution

Rate of Climb Formula Elements

Other Formulas to find Rate of Climb

Other formulas in Climbing Flight category

How to Evaluate Rate of Climb?

FAQs on Rate of Climb

Variable Name

GoRate of Climb for given excess power Formula

GoRate of Climb of Aircraft Formula