Chapter 15, Problem 50P

To determine

To find: Amount of electrical power can be produced.

Answer to Problem 50P

  $15\text{MW}$

Explanation of Solution

Given Data:

Rate of flow of water $=35{\text{m}}^{\text{3}}\text{/s}$

Height of dam $=45\text{m}$

Formula Used:

  $P=\frac{energy}{time}$

Calculation:

  $\begin{array}{l}\therefore PE=\left({10}^3\times 35\times 9.8\times 45\right)J\hfill \\ =1.544\times {10}^{7}J\hfill \end{array}$

The power generated,

  $\begin{array}{l}P=\frac{energy}{time}\\ =\frac{1.544\times {10}^{7}J}{1s}\\ =1.544\times {10}^7\text{J}/\text{s}\\ =15\text{MW}\end{array}$