Question

The wind power of a given wind turbine, P(v), depending on the wind speed in meters per second, v, can be found using the function p(v)0.002713v^3.

If the wind power is 15.83 megawatts, what is the wind speed? Round to the nearest meter.
3 meters per second
9 meters per second
11 meters per second
18 meters per second

Answer 1

18m/s

Explanation:

Answer 2

18 m/s

Explanation:

We used the given expression for the wind power:
`P(v)=0.002713v^3` replacing the power (on the left hand side of the equal sign) by 15.83 MegaWatts, and then solve for v which is raised to the power 3:

`P(v)=0.002713v^3\\15.83=0.002713v^3\\(15.83)/(0.002713) =v^3\\v^3=5834.87\\v=\sqrt[3]{5834.87} =18.003(m)/(s)`