Unfitered olive oil must flow at a minimum speed of 3.0 m/s to prevent settling
ID: 1792852 • Letter: U
Question
Unfitered olive oil must flow at a minimum speed of 3.0 m/s to prevent settling of debris in a pipe. The oil leaves a pump at a pressure of 91 kPa through a pipe of adius 9.4 mm. It then enters a horizontal pipe at atmospheric pressure. Ignore the effects of viscosity. Part A What is the speed of the oil as it leaves the pump if it flows at 3.0 m/s in the horizontal pipe? Express your answer to two significant figures and include appropriate units. Value Units Submit My Answers Give Up Part B What is the radius of the horizontal pipe? Express your answer to two significant figures and include appropriate units alue Units Submit My Answers Give Up
Explanation / Answer
Applying bernoulli's equation,
P + rho g h + rho v^2 /2 = constant
(91 x 10^3) + 0 + (920 x v^2 /2) = (101325) + 0 + (920 3^2 / 2)
v = 5.6 m/s .........Ans
(B) Q = A1 v1 = A2 v2
(pi r^2) (3 m/s ) = pi (9.4mm)^2 (5.6)
r = 12.8 mm Or 1.3 cm Or 0.13 m
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