   Chapter 4, Problem 2PA

Chapter
Section
Textbook Problem

The amount of power that can be generated by wind is determined by the equation P = 1 2 D × S 3 where P is the power in watts, D is the density, and S is the wind speed in meters per second (m/sec). Because D = 1.293 kg/m3, we can rewrite the equation as P = 0.65 × S 3 How much power (in watts) is generated by the following wind speeds: 2 meters per second, 6 meters per second, 10 meters per second, 12 meters per second?

To determine

The amount of power is generated by the following wind speeds: 2 meter per second, 6 meter per second, 10 meter per second, and 12 meter per second.

Explanation

The amount of power that can be generated by wind is determined by the equation:

P=12DS3

Here, P is the power in watts, D is the density, and S is the wind speed in meter per second m/s.

The density of air is approximately 1.293kg/m3.

Substitute D in the above equation to find P.

P=12(1.293kg/m3)S3=(0.65kg/m3)S3

For 2 m/s, substitute 2m/s for S in the above equation to find P.

P=(0.65kg/m3)(2m/s)3=5.2W

For 6 m/s, substitute 6m/s for S in the above equation to find P

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