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Flight path angle at given rate of climb Formula

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

γ = a \sin (\frac{RC}{v})

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

Flight path angle at given rate of climb Example

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Here is how the Flight path angle at given rate of climb equation looks like with Values.

Here is how the Flight path angle at given rate of climb equation looks like with Units.

Here is how the Flight path angle at given rate of climb equation looks like.

0.062 = a \sin (\frac{3.7198}{60})

0.062rad = a \sin (\frac{3.7198m/s}{60m/s})

0.062 = a \sin (\frac{3.7198}{60})

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Flight path angle at given rate of climb Solution

Follow our step by step solution on how to calculate Flight path angle at given rate of climb?

FIRST Step Consider the formula

γ = a \sin (\frac{RC}{v})

Next Step Substitute values of Variables

∴

γ = a \sin (\frac{3.7198m/s}{60m/s})

Next Step Prepare to Evaluate

∴

γ = a \sin (\frac{3.7198}{60})

Next Step Evaluate

∴

γ = 0.0620357824911862rad

LAST Step Rounding Answer

∴

γ = 0.062rad

Flight path angle at given rate of climb Formula Elements

Variables

Functions

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

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Climbing Flight category

Go Rate of Climb

RC = v \cdot \sin (γ)

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 Flight path angle at given rate of climb?

Flight path angle at given rate of climb evaluator uses Flight Path Angle = asin(Rate of Climb/Velocity) to evaluate the Flight Path Angle, The Flight path angle at given rate of climb is the angle between the aircraft's flight path and the horizontal plane, it indicates the angle at which the aircraft is climbing or descending relative to the Earth's surface, the flight path angle can be related to the rate of climb using trigonometric relationships. Flight Path Angle is denoted by γ symbol.

How to evaluate Flight path angle at given rate of climb using this online evaluator? To use this online evaluator for Flight path angle at given rate of climb, enter Rate of Climb (RC) & Velocity (v) and hit the calculate button.

FAQs on Flight path angle at given rate of climb

What is the formula to find Flight path angle at given rate of climb?

The formula of Flight path angle at given rate of climb is expressed as Flight Path Angle = asin(Rate of Climb/Velocity). Here is an example- 0.06199 = asin(3.71976/60).

How to calculate Flight path angle at given rate of climb?

With Rate of Climb (RC) & Velocity (v) we can find Flight path angle at given rate of climb using the formula - Flight Path Angle = asin(Rate of Climb/Velocity). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Flight path angle at given rate of climb be negative?

No, the Flight path angle at given rate of climb, measured in Angle cannot be negative.

Which unit is used to measure Flight path angle at given rate of climb?

Flight path angle at given rate of climb is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Flight path angle at given rate of climb can be measured.

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Flight path angle at given rate of climb Formula

Flight path angle at given rate of climb Example

Flight path angle at given rate of climb Solution

Flight path angle at given rate of climb Formula Elements

Other formulas in Climbing Flight category

How to Evaluate Flight path angle at given rate of climb?

FAQs on Flight path angle at given rate of climb

Variable Name