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Energy per Unit Mass of Pelton Turbine Formula

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Energy Per Unit Mass of Pelton Turbine is the rate of energy transfer per unit mass to the fluid through the rotor. Check FAQs

E m = (V r1 + V r2 \cdot \cos (β 2)) \cdot U

E_m - Energy Per Unit Mass of Pelton Turbine?V_r1 - Inlet Relative Velocity of Pelton Turbine?V_r2 - Outlet Relative Velocity of Pelton?β₂ - Outlet Bucket Angle of Pelton?U - Bucket Velocity of Pelton Turbine?

Energy per Unit Mass of Pelton Turbine Example

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Here is how the Energy per Unit Mass of Pelton Turbine equation looks like with Values.

Here is how the Energy per Unit Mass of Pelton Turbine equation looks like with Units.

Here is how the Energy per Unit Mass of Pelton Turbine equation looks like.

369.8722 = (13.27 + 12.6 \cdot \cos (20)) \cdot 14.73

369.8722m²/s² = (13.27m/s + 12.6m/s \cdot \cos (20°)) \cdot 14.73m/s

369.8722 = (13.27 + 12.6 \cdot \cos (20)) \cdot 14.73

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Energy per Unit Mass of Pelton Turbine Solution

Follow our step by step solution on how to calculate Energy per Unit Mass of Pelton Turbine?

FIRST Step Consider the formula

E m = (V r1 + V r2 \cdot \cos (β 2)) \cdot U

Next Step Substitute values of Variables

∴

E m = (13.27m/s + 12.6m/s \cdot \cos (20°)) \cdot 14.73m/s

Next Step Convert Units

∴

E m = (13.27m/s + 12.6m/s \cdot \cos (0.3491rad)) \cdot 14.73m/s

Next Step Prepare to Evaluate

∴

E m = (13.27 + 12.6 \cdot \cos (0.3491)) \cdot 14.73

Next Step Evaluate

∴

E m = 369.872171032627J/kg

Next Step Convert to Output's Unit

∴

E m = 369.872171032627m²/s²

LAST Step Rounding Answer

∴

E m = 369.8722m²/s²

Energy per Unit Mass of Pelton Turbine Formula Elements

Variables

Functions

Energy Per Unit Mass of Pelton Turbine

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

Symbol: E_m

Measurement: Specific EnergyUnit: m²/s²

Note: Value should be greater than 0.

Formulas to find Energy Per Unit Mass 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

Outlet Relative Velocity of Pelton

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

Symbol: V_r2

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Outlet Relative Velocity of 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

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

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 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}}

Go Pelton Head

H = \frac{{V 1}^{2}}{2 \cdot [g] \cdot {C v}^{2}}

Go Inlet Relative Velocity of Pelton

V r1 = V 1 - U

How to Evaluate Energy per Unit Mass of Pelton Turbine?

Energy per Unit Mass of Pelton Turbine evaluator 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 evaluate 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 evaluate Energy per Unit Mass of Pelton Turbine using this online evaluator? To use this online evaluator 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.

FAQs on Energy per Unit Mass of Pelton Turbine

What is the formula to find Energy per Unit Mass of Pelton Turbine?

The formula of Energy per Unit Mass of Pelton Turbine is expressed as 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. Here is an example- 369.8722 = (13.27+12.6*cos(0.3490658503988))*14.73.

How to calculate Energy per Unit Mass of Pelton Turbine?

With 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) we can find Energy per Unit Mass of Pelton Turbine using the formula - 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. This formula also uses Cosine (cos) function(s).

Can the Energy per Unit Mass of Pelton Turbine be negative?

No, the Energy per Unit Mass of Pelton Turbine, measured in Specific Energy cannot be negative.

Which unit is used to measure Energy per Unit Mass of Pelton Turbine?

Energy per Unit Mass of Pelton Turbine is usually measured using the Square Meter per Square Second[m²/s²] for Specific Energy. Joule per Kilogram[m²/s²], Joule per Gram[m²/s²], Joule per Centigram[m²/s²] are the few other units in which Energy per Unit Mass of Pelton Turbine can be measured.

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Energy per Unit Mass of Pelton Turbine Formula

Energy per Unit Mass of Pelton Turbine Example

Energy per Unit Mass of Pelton Turbine Solution

Energy per Unit Mass of Pelton Turbine Formula Elements

Other formulas in Pelton Turbine category

How to Evaluate Energy per Unit Mass of Pelton Turbine?

FAQs on Energy per Unit Mass of Pelton Turbine

Variable Name