13. 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 500kW in a 10m/s wind, how much power does it generate in a 12m/s wind?

Question

13.   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 500kW in a 10m/s wind, how much power does it generate in a 12m/s wind?

anonymous · Answer

power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second).
P=C*v^3,  where C = constant, lets find the C first on the given
given:

P     =       C*v^3, 
500= C(10)^3  what is C ?
C=500/(10)^3  ? once you know C
plug them to the formula
P=C*v^3

anonymous · Answer

how much power does it generate in a 12m/s wind? 
since you know    C=500/10^3=1/2=0.5 yes or no?
plug them to the formula
 P=C*v^3

 P=(0.5)*(12)^3
P= ? ...kilo Watts

anonymous · Answer

864KW