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Velocity of Jet from Nozzle Formula

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Velocity of jet is depends on several factors such as the head, the flow rate of water & the size and shape of the nozzle through which the water is directed onto the turbine blades. Check FAQs

V J = C v \cdot \sqrt{2 \cdot [g] \cdot H}

V_J - Velocity of Jet?C_v - Coefficient of Velocity?H - Fall Height?[g] - Gravitational acceleration on Earth?

Velocity of Jet from Nozzle Example

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Here is how the Velocity of Jet from Nozzle equation looks like with Values.

Here is how the Velocity of Jet from Nozzle equation looks like with Units.

Here is how the Velocity of Jet from Nozzle equation looks like.

68.6233 = 0.98 \cdot \sqrt{2 \cdot 9.8066 \cdot 250}

68.6233m/s = 0.98 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 250m}

68.6233 = 0.98 \cdot \sqrt{2 \cdot 9.8066 \cdot 250}

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Velocity of Jet from Nozzle Solution

Follow our step by step solution on how to calculate Velocity of Jet from Nozzle?

FIRST Step Consider the formula

V J = C v \cdot \sqrt{2 \cdot [g] \cdot H}

Next Step Substitute values of Variables

∴

V J = 0.98 \cdot \sqrt{2 \cdot [g] \cdot 250m}

Next Step Substitute values of Constants

∴

V J = 0.98 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 250m}

Next Step Prepare to Evaluate

∴

V J = 0.98 \cdot \sqrt{2 \cdot 9.8066 \cdot 250}

Next Step Evaluate

∴

V J = 68.6232710529016m/s

LAST Step Rounding Answer

∴

V J = 68.6233m/s

Velocity of Jet from Nozzle Formula Elements

Variables

Constants

Functions

Velocity of Jet

Velocity of jet is depends on several factors such as the head, the flow rate of water & the size and shape of the nozzle through which the water is directed onto the turbine blades.

Symbol: V_J

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Jet

Coefficient of Velocity

The coefficient of velocity is defined as the ratio of actual velocity of water at the turbine inlet to the theoretical velocity of water in the absence of losses.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Velocity

Fall Height

Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fall Height

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Hydroelectric Power Plant category

Go Energy Produced by Hydroelectric Power Plant

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

How to Evaluate Velocity of Jet from Nozzle?

Velocity of Jet from Nozzle evaluator uses Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height) to evaluate the Velocity of Jet, The Velocity of Jet from Nozzle formula is defined as the speed of the jet from the nozzle. Velocity of Jet is denoted by V_J symbol.

How to evaluate Velocity of Jet from Nozzle using this online evaluator? To use this online evaluator for Velocity of Jet from Nozzle, enter Coefficient of Velocity (C_v) & Fall Height (H) and hit the calculate button.

FAQs on Velocity of Jet from Nozzle

What is the formula to find Velocity of Jet from Nozzle?

The formula of Velocity of Jet from Nozzle is expressed as Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height). Here is an example- 68.62327 = 0.98*sqrt(2*[g]*250).

How to calculate Velocity of Jet from Nozzle?

With Coefficient of Velocity (C_v) & Fall Height (H) we can find Velocity of Jet from Nozzle using the formula - Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Velocity of Jet from Nozzle be negative?

No, the Velocity of Jet from Nozzle, measured in Speed cannot be negative.

Which unit is used to measure Velocity of Jet from Nozzle?

Velocity of Jet from Nozzle 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 Jet from Nozzle can be measured.

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Velocity of Jet from Nozzle Formula

Velocity of Jet from Nozzle Example

Velocity of Jet from Nozzle Solution

Velocity of Jet from Nozzle Formula Elements

Other formulas in Hydroelectric Power Plant category

How to Evaluate Velocity of Jet from Nozzle?

FAQs on Velocity of Jet from Nozzle

Variable Name