calculate the power available with (a) υ=8.0 m/s and (b) υ=24.0 m/s.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 61P

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Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.

Question

A wind turbine on a wind farm turns in response to a force of high-speed air resistance, R=0.5DρAυ². The power available is P=Rυ=0.5Dρπr²υ³., where .υ is the wind speed and we have assumed a circular face for the wind turbine of radius r. Take the drag coefficient as D=1.0 and the density of air from the front endpaper . For a wind turbine having r=1.5 m, calculate the power available with (a) υ=8.0 m/s and (b) υ=24.0 m/s. The power delivered to the generator is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.

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