At a ski resort, water at 40 °F is pumped through a 3-in.-diameter, 2001-ft-long steel pipe from a pond at an elevation of 4286 ft to a snow-making machine at an elevation of 4620 ft at a rate of 0.26 ft3/s. If it is necessary to maintain a pressure of 182 psi at the snow-making machine, determine the horsepower added to the water by the pump. Neglect minor losses.

P = 24.38 hp

Explanation:

Given data:

diameter of steel pipe = 3 inc

length of pipe = 2001 ft

elevation of pond = 4286 ft

elevation of snow making machine = 4620 ft

Rate of water = 0.26 ft^3/s

Applying bernouli equation on bioth side

.....1

where P_2 = 182 psi

P_1 = 0, v_1 = 0

calculation fro friction factor

from standard table we have

so for calculated R and, F value = 0.0212

from equation 1

h_p = 826.76ft so that

answer:

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explanation: