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 700 kW in a 12 m/s wind, how much power does it generate in a 6 m/s wind?
(The formula for P as a power function of v is P = a ⋅ v3.
A. 88 kW
B. 175 kW
C. 125 kW
D. 1050 kW
Answer:
New power = 88 Kw (Approx.)
Step-by-step explanation:
Given:
P = a(v³)
Old power p = 700 Kw
Old wind speed v = 12 m/s
Find:
New power when v = 6m/s
Computation:
P = a(v³)
700 = a(12³)
a = 0.4050 m²
New power = a(v³)
New power = (0.4050)(6³)
New power = 87.48
New power = 88 Kw (Approx.)