Power of Pelton Turbine Calculator

✖K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity.ⓘ K Factor for Pelton [k]			+10% -10%
✖Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet.ⓘ Outlet Bucket Angle of Pelton [β₂]			+10% -10%
✖The Mass Density of a substance is its mass per unit volume.ⓘ Mass Density [ρ]			+10% -10%
✖Volume Flow Rate For Pelton Turbine is the volume of fluid that passes per unit of time.ⓘ Volume Flow Rate For Pelton Turbine [Q_p]			+10% -10%
✖Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.ⓘ Bucket Velocity of Pelton Turbine [U]			+10% -10%
✖Inlet Relative Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.ⓘ Inlet Relative Velocity of Pelton Turbine [V_r1]			+10% -10%

✖The power of Pelton turbine is the amount of energy transferred or converted per unit of time.ⓘ Power of Pelton Turbine [P_t]

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Power of Pelton Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
P_t = (1+k*cos(β₂))*ρ*Q_p*U*V_r1
This formula uses 1 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Power of Pelton Turbine - (Measured in Watt) - The power of Pelton turbine is the amount of energy transferred or converted per unit of time.
K Factor for Pelton - K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity.
Outlet Bucket Angle of Pelton - (Measured in Radian) - Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
Volume Flow Rate For Pelton Turbine - (Measured in Cubic Meter per Second) - Volume Flow Rate For Pelton Turbine is the volume of fluid that passes per unit of time.
Bucket Velocity of Pelton Turbine - (Measured in Meter per Second) - Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.
Inlet Relative Velocity of Pelton Turbine - (Measured in Meter per Second) - Inlet Relative Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

STEP 1: Convert Input(s) to Base Unit

K Factor for Pelton: 0.95 --> No Conversion Required
Outlet Bucket Angle of Pelton: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Volume Flow Rate For Pelton Turbine: 1.5 Cubic Meter per Second --> 1.5 Cubic Meter per Second No Conversion Required
Bucket Velocity of Pelton Turbine: 14.73 Meter per Second --> 14.73 Meter per Second No Conversion Required
Inlet Relative Velocity of Pelton Turbine: 13.27 Meter per Second --> 13.27 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = (1+k*cos(β₂))*ρ*Q_p*U*V_r1 --> (1+0.95*cos(0.3490658503988))*997*1.5*14.73*13.27

Evaluating ... ...

P_t = 553278.383215345

STEP 3: Convert Result to Output's Unit

553278.383215345 Watt -->553.278383215345 Kilowatt (Check conversion here)

FINAL ANSWER

553.278383215345 ≈ 553.2784 Kilowatt <-- Power of Pelton Turbine

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Mechanical » Pelton Turbine » Power of Pelton Turbine

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has created this Calculator and 50+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< Pelton Turbine Calculators

Coefficient of Velocity for Pelton Wheel

LaTeX Go Coefficient of Velocity for Pelton = Velocity of Pelton Jet/sqrt(2*[g]*Pelton Head)

Absolute Velocity of Pelton Jet

LaTeX Go Velocity of Pelton Jet = Coefficient of Velocity for Pelton*sqrt(2*[g]*Pelton Head)

Pelton Head

LaTeX Go Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2)

Inlet Relative Velocity of Pelton

LaTeX Go Inlet Relative Velocity of Pelton Turbine = Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine

Power of Pelton Turbine Formula

LaTeX Go

What is Power of the Pelton turbine?

The power of the Pelton turbine is the amount of energy transferred or converted per unit of time. This formula uses the relative velocity at the inlet to calculate the power delivered by the Pelton turbine. This is the power transmitted by the fluid to the wheel.

How to Calculate Power of Pelton Turbine?

Power of Pelton Turbine calculator 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 calculate 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 calculate Power of Pelton Turbine using this online calculator? To use this online calculator 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. Here is how the Power of Pelton Turbine calculation can be explained with given input values -> 0.553278 = (1+0.95*cos(0.3490658503988))*997*1.5*14.73*13.27.

FAQ

What is 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 and is represented as P_t = (1+k*cos(β₂))*ρ*Q_p*U*V_r1 or 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. K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity, Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet, The Mass Density of a substance is its mass per unit volume, Volume Flow Rate For Pelton Turbine is the volume of fluid that passes per unit of time, Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement & Inlet Relative Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

How to calculate 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 is calculated using 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 calculate Power of Pelton Turbine, you need 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). With our tool, you need to enter the respective value for K Factor for Pelton, Outlet Bucket Angle of Pelton, Mass Density, Volume Flow Rate For Pelton Turbine, Bucket Velocity of Pelton Turbine & Inlet Relative Velocity of Pelton Turbine and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Power of Pelton Turbine?

In this formula, Power of Pelton Turbine uses K Factor for Pelton, Outlet Bucket Angle of Pelton, Mass Density, Volume Flow Rate For Pelton Turbine, Bucket Velocity of Pelton Turbine & Inlet Relative Velocity of Pelton Turbine. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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