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jason_r
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A 0.800 m-diameter vat of liquid is 2.70 m deep. The pressure at the bottom of the vat is 1.20 atm.
What is the mass of the liquid in the vat?
What is the mass of the liquid in the vat?
jason_r said:A 0.800 m-diameter vat of liquid is 2.70 m deep. The pressure at the bottom of the vat is 1.20 atm.
What is the mass of the liquid in the vat?
tiny-tim said:Hi jason_r! Welcome to PF!
Show us what you've tried, and where you're stuck, and then we'll know how to help.
Hint: find the density first.
jason_r said:PA=P_oA +mg
(1215600)(pi*(0.4)^2)= (1.013x10^5)(pi(0.4)^2) + 9.8m
m=1.04 x 10^4kg
Fluid pressure is the force per unit area exerted by a fluid on its surroundings. It is caused by the collisions of molecules within the fluid and is dependent on the density, depth, and acceleration due to gravity of the fluid.
Fluid pressure is calculated using the equation P = F/A, where P is pressure, F is force, and A is area. In fluid pressure, the force is the weight of the fluid above a certain point, and the area is the surface area of the object the fluid is acting on.
Pascal's principle states that when an external pressure is applied to a confined fluid, the pressure is transmitted equally in all directions throughout the fluid. This allows for the use of hydraulic systems, where a small force can be multiplied into a larger force by using a confined fluid.
Depth has a direct effect on fluid pressure. The deeper an object is submerged in a fluid, the higher the fluid pressure will be at that point. This is due to the weight of the fluid above the object increasing with depth, causing an increase in pressure.
Fluid pressure decreases with altitude due to a decrease in the weight of the fluid above a certain point. This is because as altitude increases, the amount of air above decreases, resulting in a decrease in the force exerted by the air molecules and therefore a decrease in pressure.