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. Find also the power delivered to the generator that is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.
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. Find also the power delivered to the generator that is limited by the efficiency of the system, about 25%. For comparison, a large American home uses about 2 kW of electric power.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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. Find also the power delivered to the generator that 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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