The site location for a wind turbine is especially important. If the power output goes as the cube of the wind velocity, then which of the following average velocities will give approximately twice as much output as a 10 mph wind?
A) 13
B) 20
C) 30
D) 60
E) 80 mph

Question

Quizplus · Accepted Answer

The power output of a wind turbine is proportional to the cube of the wind velocity. To double the power output, you need to find a velocity $v$ such that $v^3 = 2 \times (10^3)$. Solving for $v$, we find $v = 10 \times \sqrt[3]{2}$, which is approximately 12.6 mph. The closest value provided is 13 mph.

The Site Location for a Wind Turbine Is Especially Important