Water (ρw=1000 kg/m3) flows through a vertical circular pipe. The pressure is found to be the same at the top and the bottom of the pipe, P1 = P2. The pipe has a height of h = 0.5 m from top to bottom. The top of the pipe has a larger radius than the bottom, as shown. Water enters the bottom of the pipe with a speed of v1 = 5.0 m/s. The bottom of the pipe has a radius of 0.01 m. a) What is the speed of the water (v2) when it leaves the pipe? b) What is the radius of the top of the 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.
Water (ρw=1000 kg/m3) flows through a vertical circular pipe. The pressure is found to be the same at the top and the bottom of the pipe, P1 = P2.
The pipe has a height of h = 0.5 m from top to bottom. The top of the pipe has a larger radius than the bottom, as shown.
Water enters the bottom of the pipe with a speed of v1 = 5.0 m/s.
The bottom of the pipe has a radius of 0.01 m.
- a) What is the speed of the water (v2) when it leaves the pipe?
- b) What is the radius of the top of the pipe?
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