Unfiltered 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 85 kPa through a pipe of radius 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? Part B: What is the radius of the horizontal pipe?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Unfiltered 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 85 kPa through a pipe of radius 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?
Part B: What is the radius of the horizontal pipe?
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