Question

The power P (in watts) generated by a windmill that has efficiency E is given by the formula P = 0.31ED^2V^3, where D is the diameter (in feet) of the windmill blades and V is the wind velocity (in ft/sec). Approximate the wind velocity necessary to generate 20,000 watts if E = 48% and D = 13. (Round your answer to two decimal places.)

Answer 1

P = 20, 000
E = 48%
D= 13

Plug the numbers in.
20,000 = 0.31(48)(13)^2V^3

Answer 2

\[20 000 = 2514.72 v^3\]

Answer 3

Isolate v from here so divide by the numer of v and then sqaure root twice.