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Akimi4 [234]
3 years ago
7

A 65% efficient turbine receives 2 m^3/s of water from a reservoir. The reservoir water surface is 45 m above the centerline of

the turbine. The water leaves the turbine through a 1-m diameter pipe into a river. How many kilowatts of power is generated by the turbine? Assume losses in the flow system to be 5 m.
Engineering
1 answer:
laiz [17]3 years ago
3 0

Answer:

P_{out} = 508.071 kW

Given:

efficiency of the turbine, \eta = 65% = 0.65

available gross head,  H_{G} = 45 m

head loss,  H_{loss} = 5 m

Discharge, Q =  2 m^{3}

Solution:

The nozzle is 100% (say)

Available power at the inlet of the turbine,  P_{inlet} is given by:

P_{inlet} = \rho Qg(H_{G} - H_{loss})                  (1)

where

\rho = density of water = 997 kg/m^{3}

acceleration due to gravity, g = 9.8 m^{2}

Using eqn (1):

P_{inlet} = 997\times 2\times 9.8(45 - 5) = 781.65 kW

Also, efficency, \eta is given by:

\eta = \frac{P_{out}}{P_{inlet}}

0.65 = \frac{P_{out}}{781.648\times 1000}

P_{out} = 0.65\times 781.648\times 1000 = 508071 W = 508.071 kW

P_{out} = 508.071 kW

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Answer:

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In the main program, we create Scanner object and use it to prompt user to input an number for how many times to toss the coin (Line 6 - 7). Next, we use the input num to control how many times a for loop should run (Line 9). In each round of the loop, call the function <em>toss() </em>and print the output to terminal (Line 10).  

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