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As shown in the sketch, water flows at 2550 kg/s from a very large reservoir thr

ID: 2996679 • Letter: A

Question

As shown in the sketch, water flows at 2550 kg/s from a very
large reservoir through a penstock (pipe) to a hydro turbine. The
water exits the turbine through a 0.5 m diameter pipe. The
reservoir surface is 30m above the location where the water
exits. (Hint: Assume steady flow and reservoir area is very large compared
to the water exit area). Density of water = 997 kg/m3.
a. Assuming no head loss, find the power produced by the
hydro turbine.
b. What will be the power output, if total head loss is 3m?

Explanation / Answer

Q=A*V

Q=M/?

Q=2.5576m3

V=Q/?r2

V=13.26m/sec

H/g=p/?g +Z+v2/2g

H= 101325/997 +30 +(13.26)2/2

H=216.47m