SOLUTION: Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meter

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Question 1198033: Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10
m/s wind, how much power does it generate in a 12 m/s wind?
Found 4 solutions by greenestamps, Alan3354, josgarithmetic, ewatrrr:
Answer by greenestamps(13200) About Me  (Show Source):
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The ratio of the two wind speeds is 12/10 = 6/5.

The power generated varies directly as the cube of the wind speed, so the ratio of the amounts of power generated at the two wind speeds is %286%2F5%29%5E3=216%2F125.

500%28216%2F125%29=216%2A4=864

ANSWER: 864 Kw

Answer by Alan3354(69443) About Me  (Show Source):
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Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10
m/s wind, how much power does it generate in a 12 m/s wind?
======================
500%2A%2812%2F10%29%5E3 KW

Answer by josgarithmetic(39618) About Me  (Show Source):
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The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second).
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P=kv%5E3

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Answer by ewatrrr(24785) About Me  (Show Source):
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P (in kilowatts) generated by a wind turbine varies 'directly as the cube of the wind speed v (in meters per second).
P%2Fv+=+500%2F10+=+P%2F12%29+ cross multiply to solve
P = 12*500/10 = 600kw