Question

what is the water's absolute pressure as it flows through this construction? express answer in pascals

A golf course sprinkler system discharges water from a horizontal pipe at the rate of 7500 cm/s. At one point in the pipe, where the radius is 3.85 cm the water's absolute pressure is 2.45x105 Pa At a second point in the pipe, the water passes through a constriction where the radius is 2.15 cm

Answer 1

Using continuity equation,

A1 v1 = A2 v2

Velocity, v1 = Q/(pi r1^2)

v1 = 7500/(pi x 3.85^2) = 1.61 m/s

v2 = 7500/(pi x 2.15^2) = 5.16 m/s

Using Bernoulli's theorem,

P2 = P1 + 0.5 p (v1^2 - v2^2)

P2 = (2.45 x 10^5) + 0.5 x 1000 (1.61^2 - 5.16^2)

P2 = 2.33 x 10^5 Pa

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