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Solidity of Wind Machine Formula

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Solidity of Wind Machine is the ratio of the rotor's swept area to the total rotor area of a wind turbine. Check FAQs

ɣ = \frac{N \cdot c}{π \cdot R}

ɣ - Solidity of Wind Machine?N - Number of Blades in Wind turbine?c - Mean Chord of Blades?R - Rotor Radius?π - Archimedes' constant?

Solidity of Wind Machine Example

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Here is how the Solidity of Wind Machine equation looks like with Values.

Here is how the Solidity of Wind Machine equation looks like with Units.

Here is how the Solidity of Wind Machine equation looks like.

0.0455 = \frac{2 \cdot 0.5}{3.1416 \cdot 7}

0.0455 = \frac{2 \cdot 0.5m}{3.1416 \cdot 7m}

0.0455 = \frac{2 \cdot 0.5}{3.1416 \cdot 7}

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Solidity of Wind Machine Solution

Follow our step by step solution on how to calculate Solidity of Wind Machine?

FIRST Step Consider the formula

ɣ = \frac{N \cdot c}{π \cdot R}

Next Step Substitute values of Variables

∴

ɣ = \frac{2 \cdot 0.5m}{π \cdot 7m}

Next Step Substitute values of Constants

∴

ɣ = \frac{2 \cdot 0.5m}{3.1416 \cdot 7m}

Next Step Prepare to Evaluate

∴

ɣ = \frac{2 \cdot 0.5}{3.1416 \cdot 7}

Next Step Evaluate

∴

ɣ = 0.0454728408833987

LAST Step Rounding Answer

∴

ɣ = 0.0455

Solidity of Wind Machine Formula Elements

Variables

Constants

Solidity of Wind Machine

Solidity of Wind Machine is the ratio of the rotor's swept area to the total rotor area of a wind turbine.

Symbol: ɣ

Measurement: NAUnit: Unitless

Note: Value should be less than 0.36.

Formulas to find Solidity of Wind Machine

Number of Blades in Wind turbine

Number of Blades in Wind turbine is the quantity of blades in a wind turbine that converts wind energy into electrical energy.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Blades in Wind turbine

Mean Chord of Blades

Mean Chord of Blades is the average length of the blades in a wind turbine, affecting energy production efficiency.

Symbol: c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Chord of Blades

Rotor Radius

Rotor Radius is the distance from the axis of rotation to the tip of the blade in a rotor.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rotor Radius

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Other Renewable Energy Sources category

Go Power Coefficient of Wind Machine

C p = \frac{P e}{0.5 \cdot ρ \cdot π \cdot R^{2} \cdot {V ∞}^{3}}

Go Power Extracted by Rotor given Power Coefficient of Wind Machine

P e = C p \cdot (0.5 \cdot ρ \cdot π \cdot (R^{2}) \cdot {V ∞}^{3})

Go Lift Coefficient of Blade of Wind Rotor

C L = \frac{L}{0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot {V ∞}^{2}}

Go Lift Force given Lift Coefficient of Blade

L = C L \cdot 0.5 \cdot ρ vc \cdot π \cdot R^{2} \cdot {V ∞}^{2}

How to Evaluate Solidity of Wind Machine?

Solidity of Wind Machine evaluator uses Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius) to evaluate the Solidity of Wind Machine, The Solidity of Wind Machine is the ratio of the blade area to the swept frontal area (face area) of the machine. Solidity of Wind Machine is denoted by ɣ symbol.

How to evaluate Solidity of Wind Machine using this online evaluator? To use this online evaluator for Solidity of Wind Machine, enter Number of Blades in Wind turbine (N), Mean Chord of Blades (c) & Rotor Radius (R) and hit the calculate button.

FAQs on Solidity of Wind Machine

What is the formula to find Solidity of Wind Machine?

The formula of Solidity of Wind Machine is expressed as Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius). Here is an example- 0.045538 = (2*0.5)/(pi*7).

How to calculate Solidity of Wind Machine?

With Number of Blades in Wind turbine (N), Mean Chord of Blades (c) & Rotor Radius (R) we can find Solidity of Wind Machine using the formula - Solidity of Wind Machine = (Number of Blades in Wind turbine*Mean Chord of Blades)/(pi*Rotor Radius). This formula also uses Archimedes' constant .

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Solidity of Wind Machine Formula

Solidity of Wind Machine Example

Solidity of Wind Machine Solution

Solidity of Wind Machine Formula Elements

Other formulas in Other Renewable Energy Sources category

How to Evaluate Solidity of Wind Machine?

FAQs on Solidity of Wind Machine

Variable Name