Problem 2: Question A horizontal axis wind turbine with a 35-m diameter rotor is 40% efficient at 7.5 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 the peak of Mount Robson in the Rainbow Range which has an elevation of 3954 m at -8.5°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 and the coefficient of friction is the same at both altitudes. Is it beneficial to build the turbine on top of this mountain?

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Problem 2: Question
A horizontal axis wind turbine with a 35-m diameter rotor is 40% efficient at 7.5
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 the peak of Mount Robson in the Rainbow
Range which has an elevation of 3954 m at -8.5°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
and the coefficient of friction is the same at both altitudes. Is it beneficial to build the
turbine on top of this mountain?
Transcribed Image Text:Problem 2: Question A horizontal axis wind turbine with a 35-m diameter rotor is 40% efficient at 7.5 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 the peak of Mount Robson in the Rainbow Range which has an elevation of 3954 m at -8.5°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 and the coefficient of friction is the same at both altitudes. Is it beneficial to build the turbine on top of this mountain?
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