Flow Rate of Water given Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)
Q = Ph/([g]*ρw*H)
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Flow Rate - (Measured in Cubic Meter per Second) - Flow Rate in a hydroelectric power plant is controlled to maximize the amount of electricity generated while minimizing any negative impacts on the environment.
Hydroelectric Power - (Measured in Watt) - Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.
Water Density - (Measured in Kilogram per Cubic Meter) - Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant.
Fall Height - (Measured in Meter) - Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.
STEP 1: Convert Input(s) to Base Unit
Hydroelectric Power: 5145 Kilowatt --> 5145000 Watt (Check conversion here)
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Fall Height: 250 Meter --> 250 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = Ph/([g]*ρw*H) --> 5145000/([g]*1000*250)
Evaluating ... ...
Q = 2.09857596630858
STEP 3: Convert Result to Output's Unit
2.09857596630858 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
2.09857596630858 2.098576 Cubic Meter per Second <-- Flow Rate
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute of Technology,Roorlee (IITR), Roorkee
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23 Hydroelectric Power Plant Calculators

Dimensionless Specific Speed
Go Dimensionless Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/(sqrt(Water Density)*([g]*Fall Height)^(5/4))
Efficiency of Turbine given Energy
Go Turbine Efficiency = Energy/([g]*Water Density*Flow Rate*Fall Height*Operating Time per Year)
Energy Produced by Hydroelectric Power Plant
Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year
Specific Speed of Turbine of Hydroelectric Power Plant
Go Specific Speed = (Working Speed*sqrt(Hydroelectric Power/1000))/Fall Height^(5/4)
Velocity of Jet from Nozzle
Go Velocity of Jet = Coefficient of Velocity*sqrt(2*[g]*Fall Height)
Head or Height of Fall of Water given Power
Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)
Specific Speed of Single Jet Machine
Go Specific Speed of Single Jet Machine = Specific Speed of Multi Jet Machine/sqrt(Number of Jets)
Specific Speed of Multi Jet Machine
Go Specific Speed of Multi Jet Machine = sqrt(Number of Jets)*Specific Speed of Single Jet Machine
Flow Rate of Water given Power
Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)
Tidal Energy
Go Tidal Power = 0.5*Area of Base*Water Density*[g]*Fall Height^2
Hydroelectric Power
Go Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height
Energy Produced by Hydroelectric Power Plant given Power
Go Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year
Height of Fall of Pelton Wheel Turbine Power Plant
Go Fall Height = (Velocity of Jet^2)/(2*[g]*Coefficient of Velocity^2)
Diameter of Bucket
Go Bucket Circle Diameter = (60*Bucket Velocity)/(pi*Working Speed)
Speed of Bucket given Diameter and RPM
Go Bucket Velocity = (pi*Bucket Circle Diameter*Working Speed)/60
Number of Jets
Go Number of Jets = (Specific Speed of Multi Jet Machine/Specific Speed of Single Jet Machine)^2
Unit Speed of Turbine
Go Unit Speed = (Working Speed)/sqrt(Fall Height)
Speed of Turbine given Unit Speed
Go Working Speed = Unit Speed*sqrt(Fall Height)
Speed of Bucket given Angular Velocity and Radius
Go Bucket Velocity = Angular Velocity*Bucket Circle Diameter/2
Unit Power of Hydroelectric Power Plant
Go Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2)
Power given Unit Power
Go Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)
Jet Ratio of Hydroelectric Power Plant
Go Jet Ratio = Bucket Circle Diameter/Nozzle Diameter
Angular Velocity of Wheel
Go Angular Velocity = (2*pi*Working Speed)/60

Flow Rate of Water given Power Formula

Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)
Q = Ph/([g]*ρw*H)

What is the significance of Hydroelectric Power Plant?

Hydroelectric power plants are significant because they provide a reliable, cost-effective, and clean source of renewable energy, reducing reliance on fossil fuels. They also offer energy security, flexibility, and environmental benefits, such as flood control and recreation opportunities.

How to Calculate Flow Rate of Water given Power?

Flow Rate of Water given Power calculator uses Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height) to calculate the Flow Rate, The Flow Rate of Water given Power formula is defined as the amount of water that passes through the turbine per unit of time. It is typically measured in cubic meters per second (m³/s) or gallons per minute (gpm), and is an important factor in determining the amount of electrical energy that can be produced by the plant. Flow Rate is denoted by Q symbol.

How to calculate Flow Rate of Water given Power using this online calculator? To use this online calculator for Flow Rate of Water given Power, enter Hydroelectric Power (Ph), Water Density w) & Fall Height (H) and hit the calculate button. Here is how the Flow Rate of Water given Power calculation can be explained with given input values -> 2.098576 = 5145000/([g]*1000*250).

FAQ

What is Flow Rate of Water given Power?
The Flow Rate of Water given Power formula is defined as the amount of water that passes through the turbine per unit of time. It is typically measured in cubic meters per second (m³/s) or gallons per minute (gpm), and is an important factor in determining the amount of electrical energy that can be produced by the plant and is represented as Q = Ph/([g]*ρw*H) or Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height). Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine, Water density in a hydroelectric plant depends on the temperature and pressure conditions inside the plant & Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.
How to calculate Flow Rate of Water given Power?
The Flow Rate of Water given Power formula is defined as the amount of water that passes through the turbine per unit of time. It is typically measured in cubic meters per second (m³/s) or gallons per minute (gpm), and is an important factor in determining the amount of electrical energy that can be produced by the plant is calculated using Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height). To calculate Flow Rate of Water given Power, you need Hydroelectric Power (Ph), Water Density w) & Fall Height (H). With our tool, you need to enter the respective value for Hydroelectric Power, Water Density & Fall Height 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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