Flag Mechanics> (a) A fluid is rotating at constant angul...
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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
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(b) Take p = pc at the axis of rotation (r = 0) and show that the pressure p at any point r is
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(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.
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

Shane Macguire , 10 Years ago
Grade upto college level
anser 2 Answers
Deepak Patra
233-1373_1.PNG
233-514_1.PNG
233-1261_1.PNG
233-721_1.PNG
Last Activity: 10 Years ago
Kushagra Madhukar
Dear student,
Please find the attached solution to your question below.
 
233-1373_1.PNG233-514_1.PNG233-1261_1.PNG233-721_1.PNG
Hope it helps.
Thanks and regards,
Kushagra
Last Activity: 5 Years ago
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