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A centrifuge has a horizontal cylinder rotating about a vetical axis as shown in the figure. Water inside it has density `rho`. (a) Consider a point A. Inside the liquid, at a distance r from the rotation axis. Liquid pressurea t his point is P. Write the value of `(dP)/(dr)` when the cylinder, with all its liquid. rotates uniformly at an angular speed `omega`. (ii) Consider a small disc shaped foreign material inside the centrifuge at point A. The area of circular disc is `DeltaS` and its thickness is `Deltar`. It disc is in position so that its circular face is vertical. Find the radial acceleration of the disc with respect to the cylinder when angular speed of rotation is |
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Answer» Correct Answer - (a) `(dP)/(dr)=rhoomega^(2)r` (b) `(1-(rho)/(rho))omega^(2)r` |
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