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Velocity of Vane at Inlet given Speed Ratio Francis Turbine Formula

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Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine. Check FAQs

u 1 = K u \cdot \sqrt{2 \cdot g \cdot H i}

u₁ - Velocity of Vane at Inlet For Francis Turbine?K_u - Speed Ratio of Francis Turbine?g - Acceleration Due to Gravity?H_i - Head at Inlet of Francis Turbine?

Velocity of Vane at Inlet given Speed Ratio Francis Turbine Example

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Here is how the Velocity of Vane at Inlet given Speed Ratio Francis Turbine equation looks like with Values.

Here is how the Velocity of Vane at Inlet given Speed Ratio Francis Turbine equation looks like with Units.

Here is how the Velocity of Vane at Inlet given Speed Ratio Francis Turbine equation looks like.

9.4443 = 0.658 \cdot \sqrt{2 \cdot 9.81 \cdot 10.5}

9.4443m/s = 0.658 \cdot \sqrt{2 \cdot 9.81m/s² \cdot 10.5m}

9.4443 = 0.658 \cdot \sqrt{2 \cdot 9.81 \cdot 10.5}

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Velocity of Vane at Inlet given Speed Ratio Francis Turbine Solution

Follow our step by step solution on how to calculate Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

FIRST Step Consider the formula

u 1 = K u \cdot \sqrt{2 \cdot g \cdot H i}

Next Step Substitute values of Variables

∴

u 1 = 0.658 \cdot \sqrt{2 \cdot 9.81m/s² \cdot 10.5m}

Next Step Prepare to Evaluate

∴

u 1 = 0.658 \cdot \sqrt{2 \cdot 9.81 \cdot 10.5}

Next Step Evaluate

∴

u 1 = 9.44430588449993m/s

LAST Step Rounding Answer

∴

u 1 = 9.4443m/s

Velocity of Vane at Inlet given Speed Ratio Francis Turbine Formula Elements

Variables

Functions

Velocity of Vane at Inlet For Francis Turbine

Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Vane at Inlet For Francis Turbine

Speed Ratio of Francis Turbine

Speed Ratio of Francis Turbine is the ratio of tangential velocity to the theoretical velocity.

Symbol: K_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed Ratio of Francis Turbine

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Head at Inlet of Francis Turbine

Head at Inlet of Francis Turbine is defined as the height of the water column at the inlet of the Francis turbine. It represents the energy of fluid at the inlet.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head at Inlet of Francis Turbine

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Francis Turbine category

Go Francis Turbine Speed Ratio

K u = \frac{u 1}{\sqrt{2 \cdot g \cdot H i}}

Go Pressure Head given Speed Ratio in Francis Turbine

H i = \frac{{(\frac{u 1}{K u})}^{2}}{2 \cdot g}

Go Francis Turbine Flow Ratio

K f = \frac{V f1}{\sqrt{2 \cdot g \cdot H i}}

Go Velocity of Flow at Inlet given Flow Ratio in Francis Turbine

V f1 = K f \cdot \sqrt{2 \cdot g \cdot H i}

How to Evaluate Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

Velocity of Vane at Inlet given Speed Ratio Francis Turbine evaluator uses Velocity of Vane at Inlet For Francis Turbine = Speed Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine) to evaluate the Velocity of Vane at Inlet For Francis Turbine, The Velocity of vane at inlet given speed Ratio Francis turbine is defined as the velocity of the vane at the inlet of the turbine. Velocity of Vane at Inlet For Francis Turbine is denoted by u₁ symbol.

How to evaluate Velocity of Vane at Inlet given Speed Ratio Francis Turbine using this online evaluator? To use this online evaluator for Velocity of Vane at Inlet given Speed Ratio Francis Turbine, enter Speed Ratio of Francis Turbine (K_u), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i) and hit the calculate button.

FAQs on Velocity of Vane at Inlet given Speed Ratio Francis Turbine

What is the formula to find Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

The formula of Velocity of Vane at Inlet given Speed Ratio Francis Turbine is expressed as Velocity of Vane at Inlet For Francis Turbine = Speed Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine). Here is an example- 9.444306 = 0.658*sqrt(2*9.81*10.5).

How to calculate Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

With Speed Ratio of Francis Turbine (K_u), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i) we can find Velocity of Vane at Inlet given Speed Ratio Francis Turbine using the formula - Velocity of Vane at Inlet For Francis Turbine = Speed Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine). This formula also uses Square Root (sqrt) function(s).

Can the Velocity of Vane at Inlet given Speed Ratio Francis Turbine be negative?

No, the Velocity of Vane at Inlet given Speed Ratio Francis Turbine, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

Velocity of Vane at Inlet given Speed Ratio Francis Turbine 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 Vane at Inlet given Speed Ratio Francis Turbine can be measured.

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Velocity of Vane at Inlet given Speed Ratio Francis Turbine Formula

Velocity of Vane at Inlet given Speed Ratio Francis Turbine Example

Velocity of Vane at Inlet given Speed Ratio Francis Turbine Solution

Velocity of Vane at Inlet given Speed Ratio Francis Turbine Formula Elements

Other formulas in Francis Turbine category

How to Evaluate Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

FAQs on Velocity of Vane at Inlet given Speed Ratio Francis Turbine

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