Problem- Water is to be pumped from a lake to a ranger station on the side of a mountain. The flow rate is to be 95 gal/min, and the flow channel is a standard 1-in. Schedule 40 steel pipe. A pump capable of delivering 8 hp shaft work is available.
The friction loss F = 0.041L (ft lbf/lbm), where L (ft) is the length of the pipe. Calculate the maximum elevation, z, of the ranger station above the lake if the pipe rises at an angle of 30°. Assume the pipe is just below the surface of the lake and the pressure from the water is negligible.
Solve the above problem and provide steps with explanation