Provide solutions A penstock with a diameter of 4 ft and length of 225 ft carries water (γ = 62.4 lbf/ft3) through a 200 ft drop from a reservoir to a turbine. The penstock entrance is 10 ft below the water surface. The flow rate through the system is 500 cfs and water exits the turbine in a free jet with a velocity of 9 ft/s. The Darcy-Weisbach friction factor for the penstock is 0.01. Flow is turbulent and head losses at the entrances and exits of the penstock and turbine are negligible. (a) Draw the hydraulic grade line and energy grade line. Label transitions points with the height change using symbols (e.g. hL for pipe head loss) (b) Determine the head delivered to the turbine by the water in ft. (c) If the turbine and generator have a combined efficiency of 80%, determine the power in hp generated by the system.
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A penstock with a diameter of 4 ft and length of 225 ft carries water (γ = 62.4 lbf/ft3) through a 200 ft drop from a reservoir to a turbine. The penstock entrance is 10 ft below the water surface. The flow rate through the system is 500 cfs and water exits the turbine in a free jet with a velocity of 9 ft/s. The Darcy-Weisbach friction factor for the penstock is 0.01. Flow is turbulent and head losses at the entrances and exits of the penstock and turbine are negligible.
(a) Draw the hydraulic grade line and energy grade line. Label transitions points with the height change using symbols (e.g. hL for pipe head loss)
(b) Determine the head delivered to the turbine by the water in ft.
(c) If the turbine and generator have a combined efficiency of 80%, determine the power in hp generated by the system.
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