(a) Explanation Given info: The value of the drag coefficient is 1.00 , radius of the wind turbine is 1.50 m . The formula to calculate the area of the wind turbine is, A = π r 2 Here, r is the radius of the wind turbine. Substitute 1.50 m for r in the above formula to find A . A = π r 2 = 3.14 ( 1.50 m ) 2 = 7.065 m 2 Thus, the value of area of the wind turbine is 7.065 m 2 . The formula to calculate the force of high-speed resistance produces due to a wind turbine is, R = 1 2 D ρ A v 2 Here, D is the drag coefficient. v is the velocity of the wind. A is the area. ρ is the density of air. Thus, the force of high-speed air resistance is 1 2 D ρ A v 2 . The formula to calculate the power produced by the wind turbine is, P = R v Here, R is the force of high speed air resistance. v is the velocity of the wind. Substitute 1 2 D ρ A v 2 for R in the above formula to find P P = R v = 1 2 D ρ A v 2 × v = 1 2 D ρ A v 3 Substitute 1 (b) To determine The power available with the velocity 24.0 m / s .

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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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

Chapter 8, Problem 8.55AP

(a)

To determine

The power available with the velocity 8.00 m/s .

(b)

To determine

The power available with the velocity 24.0 m/s .

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Chapter 8, Problem 8.54AP

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Physics for Scientists and Engineers, Technology Update (No access codes included)

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