Consider a flow meter shown above. The water is flowing through a constricted pipe where the area of the constricted region, A, is 0.01m2 and the area of normal flow region, B, is 0.04m2. Both are at the same height. If the pressure difference between B and A is PB - PA = 8000 Pascal. Find the flow rate in m3/s. Give your answer with 3 decimal places.
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.
Consider a flow meter shown above. The water is flowing through a constricted pipe where the area of the constricted region, A, is 0.01m2 and the area of normal flow region, B, is 0.04m2. Both are at the same height.
If the pressure difference between B and A is PB - PA = 8000 Pascal.
Find the flow rate in m3/s.
Give your answer with 3 decimal places.
Useful Information
- Use g = 10 m/s^2
- Density of water is 1,000kg/m^3
- Air pressure at sea level = 10^5 Pascal
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