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Power of Pelton Turbine given Velocity Formula

GoPower of Pelton Turbine Formula

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The power of Pelton turbine is the amount of energy transferred or converted per unit of time. Check FAQs

P t = (1 + k \cdot \cos (β 2)) \cdot ρ \cdot Q p \cdot U \cdot (V 1 - U)

P_t - Power of Pelton Turbine?k - K Factor for Pelton?β₂ - Outlet Bucket Angle of Pelton?ρ - Mass Density?Q_p - Volume Flow Rate For Pelton Turbine?U - Bucket Velocity of Pelton Turbine?V₁ - Velocity of Pelton Jet?

Power of Pelton Turbine given Velocity Example

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Here is how the Power of Pelton Turbine given Velocity equation looks like with Values.

Here is how the Power of Pelton Turbine given Velocity equation looks like with Units.

Here is how the Power of Pelton Turbine given Velocity equation looks like.

553.2784 = (1 + 0.95 \cdot \cos (20)) \cdot 997 \cdot 1.5 \cdot 14.73 \cdot (28 - 14.73)

553.2784kW = (1 + 0.95 \cdot \cos (20°)) \cdot 997kg/m³ \cdot 1.5m³/s \cdot 14.73m/s \cdot (28m/s - 14.73m/s)

553.2784 = (1 + 0.95 \cdot \cos (20)) \cdot 997 \cdot 1.5 \cdot 14.73 \cdot (28 - 14.73)

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Power of Pelton Turbine given Velocity Solution

Follow our step by step solution on how to calculate Power of Pelton Turbine given Velocity?

FIRST Step Consider the formula

P t = (1 + k \cdot \cos (β 2)) \cdot ρ \cdot Q p \cdot U \cdot (V 1 - U)

Next Step Substitute values of Variables

∴

P t = (1 + 0.95 \cdot \cos (20°)) \cdot 997kg/m³ \cdot 1.5m³/s \cdot 14.73m/s \cdot (28m/s - 14.73m/s)

Next Step Convert Units

∴

P t = (1 + 0.95 \cdot \cos (0.3491rad)) \cdot 997kg/m³ \cdot 1.5m³/s \cdot 14.73m/s \cdot (28m/s - 14.73m/s)

Next Step Prepare to Evaluate

∴

P t = (1 + 0.95 \cdot \cos (0.3491)) \cdot 997 \cdot 1.5 \cdot 14.73 \cdot (28 - 14.73)

Next Step Evaluate

∴

P t = 553278.383215345W

Next Step Convert to Output's Unit

∴

P t = 553.278383215345kW

LAST Step Rounding Answer

∴

P t = 553.2784kW

Power of Pelton Turbine given Velocity Formula Elements

Variables

Functions

Power of Pelton Turbine

The power of Pelton turbine is the amount of energy transferred or converted per unit of time.

Symbol: P_t

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power of Pelton Turbine

K Factor for Pelton

K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find K Factor for Pelton

Outlet Bucket Angle of Pelton

Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet.

Symbol: β₂

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Outlet Bucket Angle of Pelton

Mass Density

The Mass Density of a substance is its mass per unit volume.

Symbol: ρ

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density

Volume Flow Rate For Pelton Turbine

Volume Flow Rate For Pelton Turbine is the volume of fluid that passes per unit of time.

Symbol: Q_p

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volume Flow Rate For Pelton Turbine

Bucket Velocity of Pelton Turbine

Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Bucket Velocity of Pelton Turbine

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Power of Pelton Turbine

Go Power of Pelton Turbine

P t = (1 + k \cdot \cos (β 2)) \cdot ρ \cdot Q p \cdot U \cdot V r1

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}}

How to Evaluate Power of Pelton Turbine given Velocity?

Power of Pelton Turbine given Velocity evaluator uses Power of Pelton Turbine = (1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*Mass Density*Volume Flow Rate For Pelton Turbine*Bucket Velocity of Pelton Turbine*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine) to evaluate the Power of Pelton Turbine, The power of Pelton Turbine given Velocity is defined as the amount of energy transferred or converted per unit of time. This is transmitted by the fluid to the wheel. Power of Pelton Turbine is denoted by P_t symbol.

How to evaluate Power of Pelton Turbine given Velocity using this online evaluator? To use this online evaluator for Power of Pelton Turbine given Velocity, enter K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Mass Density (ρ), Volume Flow Rate For Pelton Turbine (Q_p), Bucket Velocity of Pelton Turbine (U) & Velocity of Pelton Jet (V₁) and hit the calculate button.

FAQs on Power of Pelton Turbine given Velocity

What is the formula to find Power of Pelton Turbine given Velocity?

The formula of Power of Pelton Turbine given Velocity is expressed as Power of Pelton Turbine = (1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*Mass Density*Volume Flow Rate For Pelton Turbine*Bucket Velocity of Pelton Turbine*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine). Here is an example- 0.553278 = (1+0.95*cos(0.3490658503988))*997*1.5*14.73*(28-14.73).

How to calculate Power of Pelton Turbine given Velocity?

With K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Mass Density (ρ), Volume Flow Rate For Pelton Turbine (Q_p), Bucket Velocity of Pelton Turbine (U) & Velocity of Pelton Jet (V₁) we can find Power of Pelton Turbine given Velocity using the formula - Power of Pelton Turbine = (1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*Mass Density*Volume Flow Rate For Pelton Turbine*Bucket Velocity of Pelton Turbine*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Power of Pelton Turbine?

Here are the different ways to Calculate Power of Pelton Turbine-

Power of Pelton Turbine=(1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*Mass Density*Volume Flow Rate For Pelton Turbine*Bucket Velocity of Pelton Turbine*Inlet Relative Velocity of Pelton Turbine

Can the Power of Pelton Turbine given Velocity be negative?

No, the Power of Pelton Turbine given Velocity, measured in Power cannot be negative.

Which unit is used to measure Power of Pelton Turbine given Velocity?

Power of Pelton Turbine given Velocity is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Power of Pelton Turbine given Velocity can be measured.

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Power of Pelton Turbine given Velocity Formula

​GoPower of Pelton Turbine Formula

Power of Pelton Turbine given Velocity Example

Power of Pelton Turbine given Velocity Solution

Power of Pelton Turbine given Velocity Formula Elements

Other Formulas to find Power of Pelton Turbine

Other formulas in Pelton Turbine category

How to Evaluate Power of Pelton Turbine given Velocity?

FAQs on Power of Pelton Turbine given Velocity

Variable Name

GoPower of Pelton Turbine Formula