Power from a Wind Turbine The power produced by a wind turbine depends on the speed of the wind. If a windmill has blades 3 meters long, then the power P produced by the turbine is modeled by
where P is measured in watts (W) and v is measured in meters per second (m/s). Graph the function P for wind speeds between 1 m/s and 10 m/s.
To sketch: The graph for the given function
Explanation of Solution
Given:
The length of the blade is 3 meters.
Power produced by the turbine is given by the function
Power measured in watts and velocity measured in meter per second.
Wind speed lies between
Calculation:
Substitute different values for v and tabulate the corresponding values of
2 | |
4 | |
6 | |
8 | |
10 |
Sketch the graph of the function
From Figure 1, it can be observed that the curve represents the graph of the power produced when the speed of the wind is in between
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
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