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Induced Inflow Ratio in Hover Formula

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The Inflow Ratio is the ratio of total inflow velocity to rotor tip speed. Check FAQs

λ = \frac{v i}{R rotor \cdot ω}

λ - Inflow Ratio?v_i - Induced Velocity?R_rotor - Rotor Radius?ω - Angular Velocity?

Induced Inflow Ratio in Hover Example

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Here is how the Induced Inflow Ratio in Hover equation looks like with Values.

Here is how the Induced Inflow Ratio in Hover equation looks like with Units.

Here is how the Induced Inflow Ratio in Hover equation looks like.

4.1429 = \frac{58}{0.007 \cdot 2}

4.1429 = \frac{58m/s}{0.007km \cdot 2rad/s}

4.1429 = \frac{58}{0.007 \cdot 2}

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Induced Inflow Ratio in Hover Solution

Follow our step by step solution on how to calculate Induced Inflow Ratio in Hover?

FIRST Step Consider the formula

λ = \frac{v i}{R rotor \cdot ω}

Next Step Substitute values of Variables

∴

λ = \frac{58m/s}{0.007km \cdot 2rad/s}

Next Step Convert Units

∴

λ = \frac{58m/s}{7m \cdot 2rad/s}

Next Step Prepare to Evaluate

∴

λ = \frac{58}{7 \cdot 2}

Next Step Evaluate

∴

λ = 4.14285714285714

LAST Step Rounding Answer

∴

λ = 4.1429

Induced Inflow Ratio in Hover Formula Elements

Variables

Inflow Ratio

The Inflow Ratio is the ratio of total inflow velocity to rotor tip speed.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Inflow Ratio

Induced Velocity

Induced Velocity is used to associate the aerodynamic elements that model the lifting surfaces of an aircraft, or the blades of a helicopter rotor when some inflow-related computations are required.

Symbol: v_i

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Induced Velocity

Rotor Radius

Rotor Radius is the radius of rotation of the rotor.

Symbol: R_rotor

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Rotor Radius

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Other formulas in Design Process category

Go Minimum Design Index

DI min = \frac{(CI \cdot P c) + (WI \cdot P w) + (TI \cdot P t)}{100}

Go Cost Index given Minimum Design Index

CI = \frac{(DI min \cdot 100) - (WI \cdot P w) - (TI \cdot P t)}{P c}

Go Period of Design Index given Minimum Design Index

TI = \frac{(DI min \cdot 100) - (WI \cdot P w) - (CI \cdot P c)}{P t}

Go Weight Index given Minimum Design Index

WI = \frac{(DI min \cdot 100) - (CI \cdot P c) - (TI \cdot P t)}{P w}

How to Evaluate Induced Inflow Ratio in Hover?

Induced Inflow Ratio in Hover evaluator uses Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity) to evaluate the Inflow Ratio, The Induced Inflow Ratio in Hover refers to the ratio of the induced velocity at the rotor disc to the velocity of the rotor tip, it quantifies the increase in airspeed induced by the rotor as it generates lift in a hovering condition, the Induced Inflow Ratio provides insights into the efficiency and effectiveness of the rotor in generating lift during hover. Inflow Ratio is denoted by λ symbol.

How to evaluate Induced Inflow Ratio in Hover using this online evaluator? To use this online evaluator for Induced Inflow Ratio in Hover, enter Induced Velocity (v_i), Rotor Radius (R_rotor) & Angular Velocity (ω) and hit the calculate button.

FAQs on Induced Inflow Ratio in Hover

What is the formula to find Induced Inflow Ratio in Hover?

The formula of Induced Inflow Ratio in Hover is expressed as Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity). Here is an example- 4.142857 = 58/(7*2).

How to calculate Induced Inflow Ratio in Hover?

With Induced Velocity (v_i), Rotor Radius (R_rotor) & Angular Velocity (ω) we can find Induced Inflow Ratio in Hover using the formula - Inflow Ratio = Induced Velocity/(Rotor Radius*Angular Velocity).

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Induced Inflow Ratio in Hover Formula

Induced Inflow Ratio in Hover Example

Induced Inflow Ratio in Hover Solution

Induced Inflow Ratio in Hover Formula Elements

Other formulas in Design Process category

How to Evaluate Induced Inflow Ratio in Hover?

FAQs on Induced Inflow Ratio in Hover

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