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Velocity of aircraft at given rate of climb Formula

GoVelocity of Aircraft for given Excess Power Formula

GoVelocity in Accelerated Flight Formula

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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. Check FAQs

v = \frac{RC}{\sin (γ)}

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

Velocity of aircraft at given rate of climb Example

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Here is how the Velocity of aircraft at given rate of climb equation looks like with Values.

Here is how the Velocity of aircraft at given rate of climb equation looks like with Units.

Here is how the Velocity of aircraft at given rate of climb equation looks like.

60.0346 = \frac{3.7198}{\sin (0.062)}

60.0346m/s = \frac{3.7198m/s}{\sin (0.062rad)}

60.0346 = \frac{3.7198}{\sin (0.062)}

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Velocity of aircraft at given rate of climb Solution

Follow our step by step solution on how to calculate Velocity of aircraft at given rate of climb?

FIRST Step Consider the formula

v = \frac{RC}{\sin (γ)}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

v = \frac{3.7198}{\sin (0.062)}

Next Step Evaluate

∴

v = 60.0345837971942m/s

LAST Step Rounding Answer

∴

v = 60.0346m/s

Velocity of aircraft at given rate of climb Formula Elements

Variables

Functions

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

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

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 Velocity

Go Velocity of Aircraft for given Excess Power

v = \frac{P excess}{T - F D}

Go Velocity in Accelerated Flight

v = {(\frac{R curvature}{m} \cdot (F L + T \cdot \sin (σ T) - m \cdot [g] \cdot \cos (γ)))}^{\frac{1}{2}}

Other formulas in Climbing Flight category

Go Rate of Climb

RC = v \cdot \sin (γ)

Go Flight path angle at given rate of climb

γ = a \sin (\frac{RC}{v})

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 Velocity of aircraft at given rate of climb?

Velocity of aircraft at given rate of climb evaluator uses Velocity = Rate of Climb/sin(Flight Path Angle) to evaluate the Velocity, The Velocity of Aircraft at given Rate of Climb is the speed required for an aircraft to achieve a specific rate of climb. This formula calculates the velocity by dividing the rate of climb by the sine of the flight path angle during the climb. Understanding and applying this formula is crucial for pilots and engineers to optimize climb performance. Velocity is denoted by v symbol.

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

FAQs on Velocity of aircraft at given rate of climb

What is the formula to find Velocity of aircraft at given rate of climb?

The formula of Velocity of aircraft at given rate of climb is expressed as Velocity = Rate of Climb/sin(Flight Path Angle). Here is an example- 59.99004 = 3.71976/sin(0.062).

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

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

What are the other ways to Calculate Velocity?

Here are the different ways to Calculate Velocity-

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)

Can the Velocity of aircraft at given rate of climb be negative?

No, the Velocity of aircraft at given rate of climb, measured in Speed cannot be negative.

Which unit is used to measure Velocity of aircraft at given rate of climb?

Velocity of aircraft at given 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 Velocity of aircraft at given rate of climb can be measured.

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Velocity of aircraft at given rate of climb Formula

​GoVelocity of Aircraft for given Excess Power Formula

​GoVelocity in Accelerated Flight Formula

Velocity of aircraft at given rate of climb Example

Velocity of aircraft at given rate of climb Solution

Velocity of aircraft at given rate of climb Formula Elements

Other Formulas to find Velocity

Other formulas in Climbing Flight category

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

FAQs on Velocity of aircraft at given rate of climb

Variable Name

GoVelocity of Aircraft for given Excess Power Formula

GoVelocity in Accelerated Flight Formula