Work Energy And Power Question 272
Question: A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy For wind speed v, the electrical power output will be proportional to
Options:
A) v
B) $ v^{2} $
C) $ v^{3} $
D) $ v^{4} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Number of particles string the blades/time $ \propto $ velocity of wind K.E. of particle $ \propto $ (Velocity of wind)2
$ \therefore $ Power output $ \propto $ (No. of particles striking/ time) $ \times $ (K.E. of particle)
$ \therefore Power output~\propto v^{3} $
