Energy per Unit Mass of Pelton Turbine Calculator

✖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%
✖Outlet Relative Velocity of Pelton is a vector quantity and is quantified as the rate of displacement.ⓘ Outlet Relative Velocity of Pelton [V_r2]			+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%
✖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%

✖Energy Per Unit Mass of Pelton Turbine is the rate of energy transfer per unit mass to the fluid through the rotor.ⓘ Energy per Unit Mass of Pelton Turbine [E_m]

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Energy per Unit Mass of Pelton Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Per Unit Mass of Pelton Turbine = (Inlet Relative Velocity of Pelton Turbine+Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton))*Bucket Velocity of Pelton Turbine
E_m = (V_r1+V_r2*cos(β₂))*U
This formula uses 1 Functions, 5 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

Energy Per Unit Mass of Pelton Turbine - (Measured in Joule per Kilogram) - Energy Per Unit Mass of Pelton Turbine is the rate of energy transfer per unit mass to the fluid through the rotor.
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.
Outlet Relative Velocity of Pelton - (Measured in Meter per Second) - Outlet Relative Velocity of Pelton is a vector quantity and is quantified as the rate of displacement.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Inlet Relative Velocity of Pelton Turbine: 13.27 Meter per Second --> 13.27 Meter per Second No Conversion Required
Outlet Relative Velocity of Pelton: 12.6 Meter per Second --> 12.6 Meter per Second No Conversion Required
Outlet Bucket Angle of Pelton: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Bucket Velocity of Pelton Turbine: 14.73 Meter per Second --> 14.73 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_m = (V_r1+V_r2*cos(β₂))*U --> (13.27+12.6*cos(0.3490658503988))*14.73

Evaluating ... ...

E_m = 369.872171032627

STEP 3: Convert Result to Output's Unit

369.872171032627 Joule per Kilogram -->369.872171032627 Square Meter per Square Second (Check conversion here)

FINAL ANSWER

369.872171032627 ≈ 369.8722 Square Meter per Square Second <-- Energy Per Unit Mass of Pelton Turbine

(Calculation completed in 00.004 seconds)

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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!

Verified by Anshika Arya

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

Energy per Unit Mass of Pelton Turbine Formula

LaTeX Go

How to calculate the energy per unit of a mass of a Pelton wheel?

A Pelton wheel is an impulse type water turbine. Energy per unit mass of the Pelton turbine is the rate of energy transfer per unit mass to the fluid through the rotor. it is calculated using the relative velocities, outlet bucket angle, and bucket velocity.

How to Calculate Energy per Unit Mass of Pelton Turbine?

Energy per Unit Mass of Pelton Turbine calculator uses Energy Per Unit Mass of Pelton Turbine = (Inlet Relative Velocity of Pelton Turbine+Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton))*Bucket Velocity of Pelton Turbine to calculate the Energy Per Unit Mass of Pelton Turbine, Energy per Unit Mass of Pelton Turbine is the kinetic energy transferred from water to the turbine buckets. It is determined by the velocity of the water jets striking the turbine buckets, which convert the water's kinetic energy into mechanical energy. The relationship involves the water's initial velocity and the efficiency of the energy transfer process. Energy Per Unit Mass of Pelton Turbine is denoted by E_m symbol.

How to calculate Energy per Unit Mass of Pelton Turbine using this online calculator? To use this online calculator for Energy per Unit Mass of Pelton Turbine, enter Inlet Relative Velocity of Pelton Turbine (V_r1), Outlet Relative Velocity of Pelton (V_r2), Outlet Bucket Angle of Pelton (β₂) & Bucket Velocity of Pelton Turbine (U) and hit the calculate button. Here is how the Energy per Unit Mass of Pelton Turbine calculation can be explained with given input values -> 369.8722 = (13.27+12.6*cos(0.3490658503988))*14.73.

FAQ

What is Energy per Unit Mass of Pelton Turbine?

Energy per Unit Mass of Pelton Turbine is the kinetic energy transferred from water to the turbine buckets. It is determined by the velocity of the water jets striking the turbine buckets, which convert the water's kinetic energy into mechanical energy. The relationship involves the water's initial velocity and the efficiency of the energy transfer process and is represented as E_m = (V_r1+V_r2*cos(β₂))*U or Energy Per Unit Mass of Pelton Turbine = (Inlet Relative Velocity of Pelton Turbine+Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton))*Bucket Velocity of Pelton Turbine. Inlet Relative Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement, Outlet Relative Velocity of Pelton is a vector quantity and is quantified as the rate of displacement, Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet & Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

How to calculate Energy per Unit Mass of Pelton Turbine?

Energy per Unit Mass of Pelton Turbine is the kinetic energy transferred from water to the turbine buckets. It is determined by the velocity of the water jets striking the turbine buckets, which convert the water's kinetic energy into mechanical energy. The relationship involves the water's initial velocity and the efficiency of the energy transfer process is calculated using Energy Per Unit Mass of Pelton Turbine = (Inlet Relative Velocity of Pelton Turbine+Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton))*Bucket Velocity of Pelton Turbine. To calculate Energy per Unit Mass of Pelton Turbine, you need Inlet Relative Velocity of Pelton Turbine (V_r1), Outlet Relative Velocity of Pelton (V_r2), Outlet Bucket Angle of Pelton (β₂) & Bucket Velocity of Pelton Turbine (U). With our tool, you need to enter the respective value for Inlet Relative Velocity of Pelton Turbine, Outlet Relative Velocity of Pelton, Outlet Bucket Angle of Pelton & Bucket 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.

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