Water is pumped from a lake through an 9-in-diameter pipe at a rate of 10 ft3/s. If viscous effects are negligible, what is the gauge pressure in the suction pipe (the pipe between the lake and the pump) at an elevation of 7 ft above the lake?

Explanation:

Expression to calculate gauge pressure is as follows.

where,   = pressure head

              = velocity head z

where,   = 0, = 0, = 0, and = 6.0 ft

                      =

                      = 22.64 ft/s

Therefore,

                      =

                    = 414.9

As

So,                414.9 =

                                    = 2.879 psi

Thus, we can conclude that the gauge pressure in the suction pipe is 2.879 psi.

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