Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
