Input Power to Turbine or Power given to Turbine Calculator

✖The Density is a measure of mass per unit volume of a substance, indicating how compact or concentrated the material is in thermodynamic contexts.ⓘ Density [ρ]			+10% -10%
✖The Acceleration due to Gravity is the rate at which an object accelerates towards the Earth due to gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖The Discharge is the flow rate of fluid passing through a turbine, influencing its efficiency and performance in thermodynamic processes.ⓘ Discharge [Q]			+10% -10%
✖The Head is a measure of the energy per unit weight of fluid, representing the potential energy available for flow in thermodynamic systems.ⓘ Head [H_w]			+10% -10%

✖The Power is the rate at which work is done or energy is transferred in a thermodynamic system, influencing efficiency and performance in mechanical applications.ⓘ Input Power to Turbine or Power given to Turbine [P]

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Input Power to Turbine or Power given to Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power = Density*Acceleration due to Gravity*Discharge*Head
P = ρ*g*Q*H_w
This formula uses 5 Variables

Variables Used

Power - (Measured in Watt) - The Power is the rate at which work is done or energy is transferred in a thermodynamic system, influencing efficiency and performance in mechanical applications.
Density - (Measured in Kilogram per Cubic Meter) - The Density is a measure of mass per unit volume of a substance, indicating how compact or concentrated the material is in thermodynamic contexts.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is the rate at which an object accelerates towards the Earth due to gravitational force.
Discharge - (Measured in Cubic Meter per Second) - The Discharge is the flow rate of fluid passing through a turbine, influencing its efficiency and performance in thermodynamic processes.
Head - (Measured in Meter) - The Head is a measure of the energy per unit weight of fluid, representing the potential energy available for flow in thermodynamic systems.

STEP 1: Convert Input(s) to Base Unit

Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Discharge: 1.5 Cubic Meter per Second --> 1.5 Cubic Meter per Second No Conversion Required
Head: 2.55 Meter --> 2.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ρ*g*Q*H_w --> 997*9.8*1.5*2.55

Evaluating ... ...

P = 37372.545

STEP 3: Convert Result to Output's Unit

37372.545 Watt --> No Conversion Required

FINAL ANSWER

37372.545 ≈ 37372.54 Watt <-- Power

(Calculation completed in 00.004 seconds)

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Input Power to Turbine or Power given to Turbine Formula

LaTeX Go

Power = Density*Acceleration due to Gravity*Discharge*Head
P = ρ*g*Q*H_w

What is the power of a turbine?

To calculate electrical power or turbine power, you have to know the hydraulic power, which depends on the flow and how far the water falls. So, the hydraulic output power is equal to gravity times flow (in litres per second) times the pressure or height difference (in metres of water column).

How does a turbine generate power?

In a turbine generator, a moving fluid—water, steam, combustion gases, or air—pushes a series of blades mounted on a rotor shaft. The force of the fluid on the blades spins/rotates the rotor shaft of a generator. The generator, in turn, converts the mechanical (kinetic) energy of the rotor to electrical energy.

How to Calculate Input Power to Turbine or Power given to Turbine?

Input Power to Turbine or Power given to Turbine calculator uses Power = Density*Acceleration due to Gravity*Discharge*Head to calculate the Power, Input Power to Turbine or Power given to Turbine formula is defined as a measure of the energy supplied to a turbine, reflecting the relationship between fluid density, gravitational force, flow rate, and the height of water. Power is denoted by P symbol.

How to calculate Input Power to Turbine or Power given to Turbine using this online calculator? To use this online calculator for Input Power to Turbine or Power given to Turbine, enter Density (ρ), Acceleration due to Gravity (g), Discharge (Q) & Head (H_w) and hit the calculate button. Here is how the Input Power to Turbine or Power given to Turbine calculation can be explained with given input values -> 37372.54 = 997*9.8*1.5*2.55.

FAQ

What is Input Power to Turbine or Power given to Turbine?

Input Power to Turbine or Power given to Turbine formula is defined as a measure of the energy supplied to a turbine, reflecting the relationship between fluid density, gravitational force, flow rate, and the height of water and is represented as P = ρ*g*Q*H_w or Power = Density*Acceleration due to Gravity*Discharge*Head. The Density is a measure of mass per unit volume of a substance, indicating how compact or concentrated the material is in thermodynamic contexts, The Acceleration due to Gravity is the rate at which an object accelerates towards the Earth due to gravitational force, The Discharge is the flow rate of fluid passing through a turbine, influencing its efficiency and performance in thermodynamic processes & The Head is a measure of the energy per unit weight of fluid, representing the potential energy available for flow in thermodynamic systems.

How to calculate Input Power to Turbine or Power given to Turbine?

Input Power to Turbine or Power given to Turbine formula is defined as a measure of the energy supplied to a turbine, reflecting the relationship between fluid density, gravitational force, flow rate, and the height of water is calculated using Power = Density*Acceleration due to Gravity*Discharge*Head. To calculate Input Power to Turbine or Power given to Turbine, you need Density (ρ), Acceleration due to Gravity (g), Discharge (Q) & Head (H_w). With our tool, you need to enter the respective value for Density, Acceleration due to Gravity, Discharge & Head 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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