Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 15 - The Laws of Thermodynamics - Problems - Page 440: 55

Answer

7.5 MW.

Work Step by Step

Assume that the electrical power comes from steadily converting the gravitational potential energy of the water into electricity. Absent further data, assume 100 percent efficiency. The average height h of the water is half of the 48-meter depth. $$W=mgh$$ $$P=\frac{mgh}{t}=\rho\frac{V}{t}gh=(1000kg/m^3)(32m^3/s)(9.80m/s^2)(24m)=7.5MW$$
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