what is the effect of gravity on fluid pressure?
Answers
Effect of gravity on fluid pressure is to show variation of fluid pressure with depth and how the pascal law is affected in presence of gravity.
Let P1 and P2 be liquid pressure at top and bottom of container respectively and pressure is same at all points inside container else liquid will not be in equilibrium.
Force due to liquid pressure at top F1= P1A acting downwards
Force due to liquid pressure at the bottom F2=P2A acting upwards
Weight of liquid cylinder acting downwards W=Ahdg
Where d is the density of liquid g is gravity
As liquid is in equilibrium so net downward force = net upward force
F1+W=F2 so F2-F1= W
P2A-P1A= Ahdg
P2-P1=hdg
P1 is atmospheric pressure at top of container is exposed to air so the pressure will be exerted by the atmosphere on top surface of liquid and P2 is pressure by liquid above the bottom of container so P2= P and P1= Pa
So P-Pa = hdg
P= Pa + hdg
So the pressure at any point inside the fluid depends on the depth h.
Effect of gravity on Pascal's law:--
If we neglect the effect of gravity then :-
P2-P1= hdg =0
So P2 = P1
That is pressure at all points inside the liquid is same in the absence of gravity. This is Pascal's law and in presence of gravity Pascal's law is modified as P2-P1 = hdg.
The effect of gravity on fluid pressure:
- The gravity acting on fluid depends directly with the level of depth at which the gravity is being measured.
- If a certain fluid is kept in a container or tumbler, then the least Gravity acting on the fluid will be on the brim of the container while the maximum gravitational pull experienced by fluid would be at the lowermost point of the Tumbler.
- This is the reason that if there are holes dug in at different levels on tabla the highest pressure with which the fluid will flow will be at the down most hole present on it.
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