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Energy
and the
Environment
(EGEE 101)
Homework Assignment 2
Show work in steps clearly and all the relevant unit conversions in your work to obtain full credit.
While working on this HW, please do
NOT
delete the question.
1.
The average water level (
h
) in a dam’s reservoir can be taken as 500 ft. The water flow rate
(
volume flow
) through the turbines of the plant is 1.80 x 10
6
m
3
/hr. If the hydroelectric plant operates
at an efficiency of 70%, Calculate:
a) Calculate the net
power
of this plant (in MW).
[net power =efficiency x total hydropower]
b) the
energy
generated from the plant in a year, if the plant operates 7000 hours in a year (get the
answer in kWh, kilowatthours)
[
power = energy / time]
c) how many houses can be powered by this hydropower plant, if an average household consumes
20,000 KWh in a year.
(25 points)
Density of water = 1000 kg/m
3
1 meter = 3.1 ft
Gravity g = 9.8 m/s
2
1 Watt = 1 J/sec; 1 MW = 1 000 000 Watts, 1 kW = 1000 Watts
Potential Energy = m.g.h
A .7 x 1.8 x 10^6 m^3/hr = 500 m^3/s (volume flow rate)
PE = m x g x h
M= v x d
=500m^3/s x 1000kg/m^3
=500000 kg/s
500,000 kg/s x 9.8 m/s^2 x 161.29m = 790,321,000 kg m^2/s^2 s x .7
=553224700 watts
=553.2247 MW
B. 553224 kw x 7000 hrs
=3,872,568,000
C. 3,872,568,000/20,000 houses
= 193,628.4 houses
2.
Using the equation for power attainable from wind and the following information, answer the
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 Spring '06
 MATHEWS,JONATHAN

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