A horizontal axis wind turbine with a 20-m diameter rotor is 30% efficient at 10 m/s winds and at 1 atm of pressure and 15° C. (a) How much power would it produce at these conditions? (b) What would the air density be on top of a mountain at an elevation of 2500 m at 10° C? (c) Determine the power the wind turbine would produce on the mountain with the same wind speed. Assume that the efficiency of the turbine is not affected by density. Is it beneficial to build the turbine on top of the mountain? Explain your answer.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A horizontal axis wind turbine with a 20-m diameter rotor is 30% efficient at 10
m/s winds and at 1 atm of pressure and 15° C.

(a) How much power would it produce at these conditions?

(b) What would the air density be on top of a mountain at an elevation of 2500 m at
10° C?

(c) Determine the power the wind turbine would produce on the mountain with the
same wind speed. Assume that the efficiency of the turbine is not affected by
density. Is it beneficial to build the turbine on top of the mountain? Explain your
answer. 

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