The power P produced by a windmill is proportional to the square of the diameter d of
Question:
The power P produced by a windmill is proportional to the square of the diameter d of the windmill and to the cube of the speed v of the wind.
(a) Write a formula for P as a function of d and v.
(b) A windmill generates 100 kW of power at a certain wind speed. If a second windmill is built having twice the diameter of the original, what fraction of the original wind speed is needed by the second windmill to produce 100 kW?
(c) Sketch a contour diagram for P.
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a Since P is proportional to d 2 and to 3 a formula for ...View the full answer
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Related Book For 
Applied Calculus
ISBN: 9781119275565
6th Edition
Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale
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