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Effective speed ratio Formula

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Effective Speed Ratio is the ratio of aircraft forward speed to the aircraft jet velocity. Check FAQs

α = \frac{V}{V e}

α - Effective Speed Ratio?V - Flight Speed?V_e - Exit Velocity?

Effective speed ratio Example

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Here is how the Effective speed ratio equation looks like with Values.

Here is how the Effective speed ratio equation looks like with Units.

Here is how the Effective speed ratio equation looks like.

0.4476 = \frac{111}{248}

0.4476 = \frac{111m/s}{248m/s}

0.4476 = \frac{111}{248}

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Effective speed ratio Solution

Follow our step by step solution on how to calculate Effective speed ratio?

FIRST Step Consider the formula

α = \frac{V}{V e}

Next Step Substitute values of Variables

∴

α = \frac{111m/s}{248m/s}

Next Step Prepare to Evaluate

∴

α = \frac{111}{248}

Next Step Evaluate

∴

α = 0.44758064516129

LAST Step Rounding Answer

∴

α = 0.4476

Effective speed ratio Formula Elements

Variables

Effective Speed Ratio

Effective Speed Ratio is the ratio of aircraft forward speed to the aircraft jet velocity.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Speed Ratio

Flight Speed

Flight Speed refers to the velocity at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Speed

Exit Velocity

Exit Velocity refers to the speed at which gases expand at the exit of nozzle of a engine.

Symbol: V_e

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Exit Velocity

Other formulas in Efficiency Metrics category

Go Isentropic Efficiency of Expansion Machine

η T = \frac{W actual}{W s,out}

Go Net work output in simple gas turbine cycle

W Net = C p \cdot ((T 3 - T 4) - (T 2 - T 1))

Go Propulsive power

P = \frac{1}{2} \cdot ((m a + m f) \cdot {V e}^{2} - (m a \cdot V^{2}))

Go Thermal Efficiency of Jet Engines given Effective Speed Ratio

η th = \frac{{V e}^{2} \cdot (1 - α^{2})}{2 \cdot f \cdot Q}

How to Evaluate Effective speed ratio?

Effective speed ratio evaluator uses Effective Speed Ratio = Flight Speed/Exit Velocity to evaluate the Effective Speed Ratio, Effective speed ratio is a dimensionless quantity that represents the ratio of the actual speed of a system to its ideal or theoretical speed, providing a measure of the system's performance or efficiency in achieving its optimal speed. Effective Speed Ratio is denoted by α symbol.

How to evaluate Effective speed ratio using this online evaluator? To use this online evaluator for Effective speed ratio, enter Flight Speed (V) & Exit Velocity (V_e) and hit the calculate button.

FAQs on Effective speed ratio

What is the formula to find Effective speed ratio?

The formula of Effective speed ratio is expressed as Effective Speed Ratio = Flight Speed/Exit Velocity. Here is an example- 0.447581 = 111/248.

How to calculate Effective speed ratio?

With Flight Speed (V) & Exit Velocity (V_e) we can find Effective speed ratio using the formula - Effective Speed Ratio = Flight Speed/Exit Velocity.

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