Velocity of aircraft at given rate of climb Calculator

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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.ⓘ Rate of Climb [RC]			+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%

✖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 of aircraft at given rate of climb [v]

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Formula

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Velocity of aircraft at given rate of climb

Formula

`"v" = "RC"/sin("γ")`

Example

`"60.03458m/s"="3.71976m/s"/sin("0.062rad")`

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Velocity of aircraft at given rate of climb Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Rate of Climb: 3.71976 Meter per Second --> 3.71976 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

v = RC/sin(γ) --> 3.71976/sin(0.062)

Evaluating ... ...

v = 60.0345837971942

STEP 3: Convert Result to Output's Unit

60.0345837971942 Meter per Second --> No Conversion Required

FINAL ANSWER

60.0345837971942 ≈ 60.03458 Meter per Second <-- Velocity

(Calculation completed in 00.004 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 Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ 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

Velocity of aircraft at given rate of climb Formula

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

What is a zoom climb?

A zoom climb is a climb where the rate of climb is greater than the maximum climb rate using only the thrust of the aircraft's engines.

How to Calculate Velocity of aircraft at given rate of climb?

Velocity of aircraft at given rate of climb calculator uses Velocity = Rate of Climb/sin(Flight Path Angle) to calculate the Velocity, The Velocity of aircraft at given rate of climb is given by the ratio of the rate of climb and sine of flight path angle of aircraft. Velocity is denoted by v symbol.

How to calculate Velocity of aircraft at given rate of climb using this online calculator? To use this online calculator for Velocity of aircraft at given rate of climb, enter Rate of Climb (RC) & Flight Path Angle (γ) and hit the calculate button. Here is how the Velocity of aircraft at given rate of climb calculation can be explained with given input values -> 59.99004 = 3.71976/sin(0.062).

FAQ

What is Velocity of aircraft at given rate of climb?

The Velocity of aircraft at given rate of climb is given by the ratio of the rate of climb and sine of flight path angle of aircraft and is represented as v = RC/sin(γ) or Velocity = Rate of Climb/sin(Flight Path Angle). 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 & 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 Velocity of aircraft at given rate of climb?

The Velocity of aircraft at given rate of climb is given by the ratio of the rate of climb and sine of flight path angle of aircraft is calculated using Velocity = Rate of Climb/sin(Flight Path Angle). To calculate Velocity of aircraft at given rate of climb, you need Rate of Climb (RC) & Flight Path Angle (γ). With our tool, you need to enter the respective value for Rate of Climb & 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 Velocity?

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

Velocity = Excess Power/(Thrust-Drag Force)
Velocity = (Radius of Curvature/Mass of Aircraft*(Lift Force+Thrust*sin(Thrust Angle)-Mass of Aircraft*[g]*cos(Flight Path Angle)))^(1/2)

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