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in Fluid Mechanics by (118k points)
An arm of a teapot is completely filled with tea (density=ρ) If the arm has a length of l and is inclined at 30^o to the horizontal, what will be the pressure difference between the two points, C at the mouth and D at the base of the arm?

(a) ρgl

(b) ρgl/2

(c) √2ρgl

(d) 2ρgl

I had been asked this question in an international level competition.

Question is from Pressure Distribution in a Fluid topic in division Pressure and Its Measurement of Fluid Mechanics

1 Answer

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Best answer
The correct choice is (b) ρgl/2

Easiest explanation: Vertical distance difference between the two points, C at the mouth and D at the base of the arm will be l sin θ = l sin 30^o = l=2. Thus, pressure difference between C and D is = ρgl/2.

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