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Power given Unit Power Calculator

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✖The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit.ⓘ Unit Power [P_u]			+10% -10%
✖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.ⓘ Fall Height [H]			+10% -10%

✖Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.ⓘ Power given Unit Power [P_h]

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Formula

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Power given Unit Power

Formula

P h = P u \cdot 1000 \cdot H^{\frac{3}{2}}

Example

5138.701 kW = 1.3 \cdot 1000 \cdot {250 m}^{\frac{3}{2}}

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Power given Unit Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)
P_h = P_u*1000*H^(3/2)
This formula uses 3 Variables

Variables Used

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.
Unit Power - The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit.
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

Unit Power: 1.3 --> No Conversion Required
Fall Height: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_h = P_u*1000*H^(3/2) --> 1.3*1000*250^(3/2)

Evaluating ... ...

P_h = 5138701.19777362

STEP 3: Convert Result to Output's Unit

5138701.19777362 Watt -->5138.70119777362 Kilowatt (Check conversion here)

FINAL ANSWER

5138.70119777362 ≈ 5138.701 Kilowatt <-- Hydroelectric Power

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< Hydroelectric Power Plant Calculators

Energy Produced by Hydroelectric Power Plant

Go Energy = [g]*Water Density*Flow Rate*Fall Height*Turbine Efficiency*Operating Time per Year

Head or Height of Fall of Water given Power

Go Fall Height = Hydroelectric Power/([g]*Water Density*Flow Rate)

Flow Rate of Water given Power

Go Flow Rate = Hydroelectric Power/([g]*Water Density*Fall Height)

Energy Produced by Hydroelectric Power Plant given Power

Go Energy = Hydroelectric Power*Turbine Efficiency*Operating Time per Year

Power given Unit Power Formula

Hydroelectric Power = Unit Power*1000*Fall Height^(3/2)
P_h = P_u*1000*H^(3/2)

Who invented hydroelectricity?

In 1878, the world's first hydroelectric power scheme was developed at Cragside in Northumberland, England by William Armstrong. It was used to power a single arc lamp in his art gallery.

How to Calculate Power given Unit Power?

Power given Unit Power calculator uses Hydroelectric Power = Unit Power*1000*Fall Height^(3/2) to calculate the Hydroelectric Power, The Power given Unit Power formula is defined as the power generated by the Hydroelectric Power Plant. Hydroelectric Power is denoted by P_h symbol.

How to calculate Power given Unit Power using this online calculator? To use this online calculator for Power given Unit Power, enter Unit Power (P_u) & Fall Height (H) and hit the calculate button. Here is how the Power given Unit Power calculation can be explained with given input values -> 5.138701 = 1.3*1000*250^(3/2).

FAQ

What is Power given Unit Power?

The Power given Unit Power formula is defined as the power generated by the Hydroelectric Power Plant and is represented as P_h = P_u*1000*H^(3/2) or Hydroelectric Power = Unit Power*1000*Fall Height^(3/2). The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit & 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 Power given Unit Power?

The Power given Unit Power formula is defined as the power generated by the Hydroelectric Power Plant is calculated using Hydroelectric Power = Unit Power*1000*Fall Height^(3/2). To calculate Power given Unit Power, you need Unit Power (P_u) & Fall Height (H). With our tool, you need to enter the respective value for Unit Power & Fall Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hydroelectric Power?

In this formula, Hydroelectric Power uses Unit Power & Fall Height. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydroelectric Power = [g]*Water Density*Flow Rate*Fall Height

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