A large tank containing a mystery liquid is filled to a depth of L = 15 m. The upper surface of the liquid is exposed to the atmosphere (of density 1.2 kg/m³). A pipe of cross-sectional area Ain = 0.01 m2 is inserted in to the liquid. The other 'outlet' end of the pipe, of smaller cross sectional area Aout = 0.0001 m?, is placed outside the liquid at a height of h = 2 m below the surface of the liquid. Fluid begins to flow out of the outlet. Vuond Ain Yout Someone submerges an object of density 1200 kg/m3 in the mystery liquid, and it floats suspended (a = 0). What is the density of the mystery liquid? Find the speed vout Of the liquid flowing out of the outlet. b Find the speed vin of the liquid flowing into the pipe. |Now a fierce wind with vwind =20 m/s blows parallel to the entire surface of the tank exposed to the air (it does not reach or affect the air around the outlet). This lowers the pressure on the liquid at the top of the tank (but liquid does not spill over the top). With the wind blowing, how much slower is the liquid flowing out of the outlet?
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.
P15) A large tank containing a mystery liquid is filled to a depth of L = 15 m. The upper surface of the liquid is exposed to the atmosphere (of density 1.2 kg/m3). A pipe of cross-sectional area Ain = 0.01 m2 is inserted in to the liquid. The other ’outlet’ end of the pipe, of smaller cross sectional area Aout = 0.0001 m2, is placed outside the liquid at a height of h = 2 m below the surface of the liquid. Fluid begins to flow out of the outlet.
See details in image and keep 3 significant figures for answers.
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