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Q.61

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

A hydroelectric power plant uses spinning turbines to transform the kinetic energy of moving water into electric energy with efficiency. That is, of the kinetic energy becomes electric energy. A small hydroelectric plant at the base of a dam generates of electric power when the falling water has a speed of . What is the water flow rate—kilograms of water per second—through the turbines?

The water flow rate-kilograms of water per second through the turbines is .

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Step by Step Solution

Step 1: Content Introduction

From work energy theorem, work done by all the forces is equal to change in kinetic energy .

Assuming water starts from rest, hence, change in kinetic energy is,

Step 2: Content Explanation

As of kinetic energy is converted into electrical energy. Available kinetic energy is

Therefore, rate of water flow is

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