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Mechanical Properties Of Fluids
Question
A cylinder of length l and area of cross section a is filled with liquid of density ρ to a height h. What is the pressure at the bottom due to height column of liquid?
Solution
Given,
Length of the cylinder = l
Area of cross-section = A
Density of the liquid = ρ
Height of the liquid column = h
Therefore, pressure at the bottom due to height column of liquid is given by,
F = mg
⇒ PA = mg
and,
m = ρV = ρhA
Therefore, P = ρgh
Thus, pressure due to height column of liquid is given by ρgh.
Length of the cylinder = l
Area of cross-section = A
Density of the liquid = ρ
Height of the liquid column = h
Therefore, pressure at the bottom due to height column of liquid is given by,
F = mg
⇒ PA = mg
and,
m = ρV = ρhA
Therefore, P = ρgh
Thus, pressure due to height column of liquid is given by ρgh.
Some More Questions From Mechanical Properties of Fluids Chapter
What is hydrodynamics?
Can fluids withstand tangential stress?
Can fluids withstand normal stress?
Why the fluids do not have any modulus of rigidity?
Which phase of fluid is more compressible?
What is an ideal liquid?
Do liquids exert pressure?
Define pressure.
What is the direction of pressure?
What is the direction in which pressure exerts force on the walls of a container?
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