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(a) A fluid is rotating at constant angular velocity w about the central vertical axis of a cylindrical container. Show that the variation of pressure in the radial direction is given by (b) Take p = p c at the axis of rotation (r = 0) and show that the pressure p at any point r is (c) Show that the liquid surface is of paraboloidal form (Fig. 15-26); that is, a vertical cross section of the surface is the curve y = ω 2 r 2 /2g. (d) Show that the variation of pressure with depth is p = pgh.

(a) A fluid is rotating at constant angular velocity w about the central vertical axis of a cylindrical container. Show that the variation of pressure in the radial direction is given by
(b) Take p = pc at the axis of rotation (r = 0) and show that the pressure p at any point r is
(c) Show that the liquid surface is of paraboloidal form (Fig. 15-26); that is, a vertical cross section of the surface is the curve y = ω2r2/2g. (d) Show that the variation of pressure with depth is p = pgh.

Grade:upto college level

2 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
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Kushagra Madhukar
askIITians Faculty 628 Points
3 years ago
Dear student,
Please find the attached solution to your question below.
 
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Hope it helps.
Thanks and regards,
Kushagra

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