Work Power and Energy 5 Question 7

9. A wind-powered generator converts wind energy into electric 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

(2000,2M)

(a) v

(b) v2

(c) v3

(d) v4

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Answer:

Correct Answer: 9. (c)

Solution:

  1. Power =Fv=Fv

F=vdmdt=vd(ρ× volume )dt

=ρvd( volume )dt=ρv(Av)=ρAv2

Power, P=ρAv3 or Pv3



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