A wind - powered generator convets and energy into electrical energy . Assume that the generator convents a fixed fraction of the wind energy intercepited by to blades into electrical energy for wind speed `V` , the electrical power output will be propertional to

Options

A. `V`
B. `V^(2)`
C. `V^(3)`
D. `V^(4)`

Answer

C

Explanation

`F = V ((dm)/(dt)) = v(d)/(dt) ( rho xx (volume ) = vrho (d)/(dt) (Volume)`
`= vrho xx (Av) = Arhov^(2)`
` power = force xx velocity = Arhov^(2) xx v = Arhov^(2) `
`rArr P prop v^(2)`