the wind power of a given wind turbine, $p(v)$, depending on the wind speed in meters per second, $v$, can…

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.\n3 meters per second\n9 meters per second\n11 meters per second\n18 meters per second

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.\n3 meters per second\n9 meters per second\n11 meters per second\n18 meters per second

Answer

Answer:

D. 18 meters per second

Explanation:

Step1: Set up the equation

$15.83 = 0.002713v^{3}$

Step2: Solve for $v^{3}$

$v^{3}=\frac{15.83}{0.002713}\approx5834.87$

Step3: Solve for $v$

$v=\sqrt[3]{5834.87}\approx18$