Flight path angle at given rate of climb Calculator

✖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]			+10% -10%
✖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 at given rate of climb [γ]

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Formula

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Flight path angle at given rate of climb

Formula

γ = a \sin (\frac{RC}{v})

Example

0.062036 rad = a \sin (\frac{3.71976 m/s}{60 m/s})

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Flight path angle at given rate of climb Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flight Path Angle = asin(Rate of Climb/Velocity)
γ = asin(RC/v)
This formula uses 2 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)
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., asin(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Rate of Climb: 3.71976 Meter per Second --> 3.71976 Meter per Second No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = asin(RC/v) --> asin(3.71976/60)

Evaluating ... ...

γ = 0.0620357824911862

STEP 3: Convert Result to Output's Unit

0.0620357824911862 Radian --> No Conversion Required

FINAL ANSWER

0.0620357824911862 ≈ 0.062036 Radian <-- Flight Path Angle

(Calculation completed in 00.004 seconds)

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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 Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< Climbing Flight Calculators

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)

Weight of Aircraft for given Excess Power

Go Aircraft Weight = Excess Power/Rate of Climb

Flight path angle at given rate of climb Formula

Flight Path Angle = asin(Rate of Climb/Velocity)
γ = asin(RC/v)

What is the purpose of zoom climb?

Zoom climbs are somewhat commonly performed by modern fighter aircraft. Zoom climbs have been used to test new aircraft designs and conduct research in different flight regimes.

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

Flight path angle at given rate of climb calculator uses Flight Path Angle = asin(Rate of Climb/Velocity) to calculate 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 calculate Flight path angle at given rate of climb using this online calculator? To use this online calculator for Flight path angle at given rate of climb, enter Rate of Climb (RC) & Velocity (v) and hit the calculate button. Here is how the Flight path angle at given rate of climb calculation can be explained with given input values -> 0.06199 = asin(3.71976/60).

FAQ

What is Flight path angle at given rate of climb?

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 and is represented as γ = asin(RC/v) or Flight Path Angle = asin(Rate of Climb/Velocity). 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 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.

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

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 is calculated using Flight Path Angle = asin(Rate of Climb/Velocity). To calculate Flight path angle at given rate of climb, you need Rate of Climb (RC) & Velocity (v). With our tool, you need to enter the respective value for Rate of Climb & Velocity 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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