A 1-m diameter penstock is 10-km long and carries water to an impulse turbine. If the turbine/generator is 83 percent efficient, what power can be extracted if the elevation difference between the reservoir and the nozzle is 650 m. The jet (nozzle) diameter is 16 cm.

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Engineering

Hudson Rangel

4 June, 21:44

A 1-m diameter penstock is 10-km long and carries water to an impulse turbine. If the turbine/generator is 83 percent efficient, what power can be extracted if the elevation difference between the reservoir and the nozzle is 650 m. The jet (nozzle) diameter is 16 cm.

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Julissa · Answer 1

Difference in diameter = (1 - 16/100) m = (1.00 - 0.16) = 0.84m

∴ Radius, r = 0.84/2 = 0.42m

Volume of pipe, V = πr²h = 22/7 X (0.42) ² X 10,000 (where height, h = 10km or 10,000m)

V = 5544m³ or 5.54 Liters (in capacity)