Question

A certain region currently has wind farms capable of generating a total of 2200 megawatts ​(2.2 ​gigawatts) of power. Complete parts​ (a) and​ (b) below. a. Assuming wind farms typically generate 40​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year? Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

Answer 1

Answer:

$E=7.708\times 10^9\ KW-hr$

n=770,880.

Explanation:

Given that

P= 2200 MW

Power of wind farm = 0.4 or 40%

So the power produce by wind farm = 0.4 x P

P'=0.4 x 2200 MW

P'=880 MW

P'=880,000 KW

We know that

1 year = 365 days

1 day = 24 hr

So

1 year = 365  x 24 hr

1 year = 8760

So the energy produce in one year

E= 8760 x P'

E= 8760 x 880,000 KW

$E=7.708\times 10^9\ KW-hr$

Given that average house hold use 10,000 KW-hr

So lets take total n number of house hold use power

E= n x 10,1000

$7.708\times 10^9= n \times 10000$

n=770,880.