Tangential Component of Outlet Velocity in Pelton Turbine Calculator

✖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%
✖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%

✖Tangential Outlet Velocity of Pelton is a vector quantity and is quantified as the rate of displacement.ⓘ Tangential Component of Outlet Velocity in Pelton Turbine [V_w]

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Tangential Component of Outlet Velocity in Pelton Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Outlet Velocity of Pelton = Bucket Velocity of Pelton Turbine-Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton)
V_w = U-V_r2*cos(β₂)
This formula uses 1 Functions, 4 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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Bucket Velocity of Pelton Turbine: 14.73 Meter per Second --> 14.73 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_w = U-V_r2*cos(β₂) --> 14.73-12.6*cos(0.3490658503988)

Evaluating ... ...

V_w = 2.88987297809727

STEP 3: Convert Result to Output's Unit

2.88987297809727 Meter per Second --> No Conversion Required

FINAL ANSWER

2.88987297809727 ≈ 2.889873 Meter per Second <-- Tangential Outlet Velocity of Pelton

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Mechanical » Pelton Turbine » Tangential Component of Outlet Velocity in Pelton Turbine

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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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

Tangential Component of Outlet Velocity in Pelton Turbine Formula

LaTeX Go

Tangential Outlet Velocity of Pelton = Bucket Velocity of Pelton Turbine-Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton)
V_w = U-V_r2*cos(β₂)

What is the tangential component of velocity?

The tangential outlet velocity of the Pelton is a vector quantity and is given as the rate of displacement. The tangential outlet velocity is the tangential component of the absolute velocity in the outlet velocity triangle. It plays an important role in depicting the energy delivered by the fluid per unit mass in the Pelton turbine.

How to Calculate Tangential Component of Outlet Velocity in Pelton Turbine?

Tangential Component of Outlet Velocity in Pelton Turbine calculator uses Tangential Outlet Velocity of Pelton = Bucket Velocity of Pelton Turbine-Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton) to calculate the Tangential Outlet Velocity of Pelton, Tangential Component of Outlet Velocity in Pelton Turbine is the part of the water jet velocity that is parallel to the direction of the turbine bucket's motion at the outlet. It is essential for the effective transfer of kinetic energy from the water jet to the turbine, contributing to the turbine's rotational speed and efficiency. Tangential Outlet Velocity of Pelton is denoted by V_w symbol.

How to calculate Tangential Component of Outlet Velocity in Pelton Turbine using this online calculator? To use this online calculator for Tangential Component of Outlet Velocity in Pelton Turbine, enter Bucket Velocity of Pelton Turbine (U), Outlet Relative Velocity of Pelton (V_r2) & Outlet Bucket Angle of Pelton (β₂) and hit the calculate button. Here is how the Tangential Component of Outlet Velocity in Pelton Turbine calculation can be explained with given input values -> 2.889873 = 14.73-12.6*cos(0.3490658503988).

FAQ

What is Tangential Component of Outlet Velocity in Pelton Turbine?

Tangential Component of Outlet Velocity in Pelton Turbine is the part of the water jet velocity that is parallel to the direction of the turbine bucket's motion at the outlet. It is essential for the effective transfer of kinetic energy from the water jet to the turbine, contributing to the turbine's rotational speed and efficiency and is represented as V_w = U-V_r2*cos(β₂) or Tangential Outlet Velocity of Pelton = Bucket Velocity of Pelton Turbine-Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton). Bucket 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.

How to calculate Tangential Component of Outlet Velocity in Pelton Turbine?

Tangential Component of Outlet Velocity in Pelton Turbine is the part of the water jet velocity that is parallel to the direction of the turbine bucket's motion at the outlet. It is essential for the effective transfer of kinetic energy from the water jet to the turbine, contributing to the turbine's rotational speed and efficiency is calculated using Tangential Outlet Velocity of Pelton = Bucket Velocity of Pelton Turbine-Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton). To calculate Tangential Component of Outlet Velocity in Pelton Turbine, you need Bucket Velocity of Pelton Turbine (U), Outlet Relative Velocity of Pelton (V_r2) & Outlet Bucket Angle of Pelton (β₂). With our tool, you need to enter the respective value for Bucket Velocity of Pelton Turbine, Outlet Relative Velocity of Pelton & Outlet Bucket Angle of Pelton 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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