QUESTION 4 [15 MARKS] Water in the reservoir flows through the 300 mm diameter pipe at A into the turbine as shown in Figure Q4. If the discharge at B is 18000 litres/min, estimate the power output of the turbine. Assume the turbine runs with an efficiency of 75%. Neglect frictional losses in the pipe. Figure Q4: Schematic of a reservoir.
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Given discharge at B is 18000 liters/min. 1 cubic meter = 1000 liters, so 18000 liters = 18 cubic meters. Therefore, discharge in cubic meters per second is: \[ Q = \frac{18 \, \text{m}^3}{60 \, \text{s}} = 0.3 \, \text{m}^3/\text{s} \] Show more…
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A water reservoir is connected to a turbine using a pipe of diameter $0.24 \mathrm{~m}$. If the discharge at $B$ is $0.6 \mathrm{~m}^{3} / \mathrm{s}$, determine the power output of the turbine. Assume the turbine runs with an efficiency of $85 \%$. Neglect frictional losses in the pipe.
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