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Power of Pelton Turbine Formula

GoPower of Pelton Turbine given Velocity 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 r1

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?V_r1 - Inlet Relative Velocity of Pelton Turbine?

Power of Pelton Turbine Example

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

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

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

553.2784 = (1 + 0.95 \cdot \cos (20)) \cdot 997 \cdot 1.5 \cdot 14.73 \cdot 13.27

553.2784kW = (1 + 0.95 \cdot \cos (20°)) \cdot 997kg/m³ \cdot 1.5m³/s \cdot 14.73m/s \cdot 13.27m/s

553.2784 = (1 + 0.95 \cdot \cos (20)) \cdot 997 \cdot 1.5 \cdot 14.73 \cdot 13.27

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Power of Pelton Turbine Solution

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

FIRST Step Consider the formula

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

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 13.27m/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 13.27m/s

Next Step Prepare to Evaluate

∴

P t = (1 + 0.95 \cdot \cos (0.3491)) \cdot 997 \cdot 1.5 \cdot 14.73 \cdot 13.27

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 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

Inlet Relative Velocity of Pelton Turbine

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

Symbol: V_r1

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Inlet Relative Velocity of Pelton Turbine

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 given Velocity

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

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?

Power of Pelton Turbine 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*Inlet Relative Velocity of Pelton Turbine to evaluate the Power of Pelton Turbine, Power of Pelton Turbine is the mechanical energy output generated by converting the kinetic energy of a high-speed water jet striking the turbine's buckets. This conversion depends on the water flow rate, the height of the waterfall (head), and the efficiency of the turbine. The primary factors influencing the power are the velocity of the water jet and the force exerted on the turbine's buckets. Power of Pelton Turbine is denoted by P_t symbol.

How to evaluate Power of Pelton Turbine using this online evaluator? To use this online evaluator for Power of Pelton Turbine, 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) & Inlet Relative Velocity of Pelton Turbine (V_r1) and hit the calculate button.

FAQs on Power of Pelton Turbine

What is the formula to find Power of Pelton Turbine?

The formula of Power of Pelton Turbine 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*Inlet Relative Velocity of Pelton Turbine. Here is an example- 0.553278 = (1+0.95*cos(0.3490658503988))*997*1.5*14.73*13.27.

How to calculate Power of Pelton Turbine?

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) & Inlet Relative Velocity of Pelton Turbine (V_r1) we can find Power of Pelton Turbine 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*Inlet Relative Velocity of Pelton Turbine. This formula also uses Cosine 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*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine)

Can the Power of Pelton Turbine be negative?

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

Which unit is used to measure Power of Pelton Turbine?

Power of Pelton Turbine 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 can be measured.

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Power of Pelton Turbine Formula

​GoPower of Pelton Turbine given Velocity Formula

Power of Pelton Turbine Example

Power of Pelton Turbine Solution

Power of Pelton Turbine Formula Elements

Other Formulas to find Power of Pelton Turbine

Other formulas in Pelton Turbine category

How to Evaluate Power of Pelton Turbine?

FAQs on Power of Pelton Turbine

Variable Name

GoPower of Pelton Turbine given Velocity Formula