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Pelton Head Formula

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Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters. Check FAQs

H = \frac{{V 1}^{2}}{2 \cdot [g] \cdot {C v}^{2}}

H - Pelton Head?V₁ - Velocity of Pelton Jet?C_v - Coefficient of Velocity for Pelton?[g] - Gravitational acceleration on Earth?

Pelton Head Example

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With units

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Here is how the Pelton Head equation looks like with Values.

Here is how the Pelton Head equation looks like with Units.

Here is how the Pelton Head equation looks like.

42.049 = \frac{28^{2}}{2 \cdot 9.8066 \cdot {0.975}^{2}}

42.049m = \frac{{28m/s}^{2}}{2 \cdot 9.8066m/s² \cdot {0.975}^{2}}

42.049 = \frac{28^{2}}{2 \cdot 9.8066 \cdot {0.975}^{2}}

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Pelton Head Solution

Follow our step by step solution on how to calculate Pelton Head?

FIRST Step Consider the formula

H = \frac{{V 1}^{2}}{2 \cdot [g] \cdot {C v}^{2}}

Next Step Substitute values of Variables

∴

H = \frac{{28m/s}^{2}}{2 \cdot [g] \cdot {0.975}^{2}}

Next Step Substitute values of Constants

∴

H = \frac{{28m/s}^{2}}{2 \cdot 9.8066m/s² \cdot {0.975}^{2}}

Next Step Prepare to Evaluate

∴

H = \frac{28^{2}}{2 \cdot 9.8066 \cdot {0.975}^{2}}

Next Step Evaluate

∴

H = 42.0490472570517m

LAST Step Rounding Answer

∴

H = 42.049m

Pelton Head Formula Elements

Variables

Constants

Pelton Head

Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pelton Head

Velocity of Pelton Jet

Velocity of Pelton Jet is a vector quantity and is given as the rate of change of displacement.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Pelton Jet

Coefficient of Velocity for Pelton

Coefficient of Velocity for Pelton Turbine is the ratio of the actual velocity to the theoretical velocity of a fluid jet.

Symbol: C_v

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Velocity for Pelton

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

Other formulas in Pelton Turbine category

Go Absolute Velocity of Pelton Jet

V 1 = C v \cdot \sqrt{2 \cdot [g] \cdot H}

Go Coefficient of Velocity for Pelton Wheel

C v = \frac{V 1}{\sqrt{2 \cdot [g] \cdot H}}

Go Inlet Relative Velocity of Pelton

V r1 = V 1 - U

Go Bucket Velocity of Pelton Turbine

U = V 1 - V r1

How to Evaluate Pelton Head?

Pelton Head evaluator uses Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2) to evaluate the Pelton Head, Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters. Pelton Head is denoted by H symbol.

How to evaluate Pelton Head using this online evaluator? To use this online evaluator for Pelton Head, enter Velocity of Pelton Jet (V₁) & Coefficient of Velocity for Pelton (C_v) and hit the calculate button.

FAQs on Pelton Head

What is the formula to find Pelton Head?

The formula of Pelton Head is expressed as Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2). Here is an example- 42.04905 = 28^2/(2*[g]*0.975^2).

How to calculate Pelton Head?

With Velocity of Pelton Jet (V₁) & Coefficient of Velocity for Pelton (C_v) we can find Pelton Head using the formula - Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Pelton Head be negative?

No, the Pelton Head, measured in Length cannot be negative.

Which unit is used to measure Pelton Head?

Pelton Head is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pelton Head can be measured.

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