Energy per Unit Mass of Pelton Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine
Ep = (Vti-Vw)*U
This formula uses 4 Variables
Variables Used
Energy Per Unit Mass of Pelton - (Measured in Joule per Kilogram) - Energy Per Unit Mass of Pelton is the rate of energy transfer per unit mass to the fluid through the rotor.
Tangential Inlet Velocity of Pelton - (Measured in Meter per Second) - The Tangential Inlet Velocity of Pelton is a vector quantity and is given as the rate of displacement.
Tangential Outlet Velocity of Pelton - (Measured in Meter per Second) - Tangential Outlet Velocity of Pelton is a vector quantity and is quantified as the rate of displacement.
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
Tangential Inlet Velocity of Pelton: 28.27 Meter per Second --> 28.27 Meter per Second No Conversion Required
Tangential Outlet Velocity of Pelton: 2.18 Meter per Second --> 2.18 Meter per Second No Conversion Required
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
Ep = (Vti-Vw)*U --> (28.27-2.18)*14.73
Evaluating ... ...
Ep = 384.3057
STEP 3: Convert Result to Output's Unit
384.3057 Joule per Kilogram -->384.3057 Square Meter per Square Second (Check conversion ​here)
FINAL ANSWER
384.3057 Square Meter per Square Second <-- Energy Per Unit Mass of Pelton
(Calculation completed in 00.004 seconds)

Credits

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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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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 Formula

​LaTeX ​Go
Energy Per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine
Ep = (Vti-Vw)*U

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 as the difference of the outlet and inlet tangential velocities and then multiplying by the bucket velocity.

How to Calculate Energy per Unit Mass of Pelton?

Energy per Unit Mass of Pelton calculator uses Energy Per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine to calculate the Energy Per Unit Mass of Pelton, Energy per Unit Mass of Pelton is the kinetic energy transferred from the water jet to the buckets. It depends on the velocity of the water jet and the efficiency of the turbine. Energy Per Unit Mass of Pelton is denoted by Ep symbol.

How to calculate Energy per Unit Mass of Pelton using this online calculator? To use this online calculator for Energy per Unit Mass of Pelton, enter Tangential Inlet Velocity of Pelton (Vti), Tangential Outlet Velocity of Pelton (Vw) & Bucket Velocity of Pelton Turbine (U) and hit the calculate button. Here is how the Energy per Unit Mass of Pelton calculation can be explained with given input values -> 384.3057 = (28.27-2.18)*14.73.

FAQ

What is Energy per Unit Mass of Pelton?
Energy per Unit Mass of Pelton is the kinetic energy transferred from the water jet to the buckets. It depends on the velocity of the water jet and the efficiency of the turbine and is represented as Ep = (Vti-Vw)*U or Energy Per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine. The Tangential Inlet Velocity of Pelton is a vector quantity and is given as the rate of displacement, Tangential Outlet Velocity of Pelton is a vector quantity and is quantified as the rate of displacement & 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?
Energy per Unit Mass of Pelton is the kinetic energy transferred from the water jet to the buckets. It depends on the velocity of the water jet and the efficiency of the turbine is calculated using Energy Per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine. To calculate Energy per Unit Mass of Pelton, you need Tangential Inlet Velocity of Pelton (Vti), Tangential Outlet Velocity of Pelton (Vw) & Bucket Velocity of Pelton Turbine (U). With our tool, you need to enter the respective value for Tangential Inlet Velocity of Pelton, Tangential Outlet Velocity 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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