A filling station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is ? = 7.100 ✕ 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.840 cm and 1.420 cm, and the difference in input and output pressure is P1 − P2 = 1.20 kPa. Find the speed in m/s of the gasoline as it leaves the hose. (1) Find the fluid flow rate in cubic meters per second. (2)
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.
A filling station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is ? = 7.100 ✕ 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.840 cm and 1.420 cm, and the difference in input and output pressure is P1 − P2 = 1.20 kPa.
Find the speed in m/s of the gasoline as it leaves the hose. (1)
Find the fluid flow rate in cubic meters per second. (2)
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