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A circular pan of liquid with density ρ is centered on a horizontal turntable rotating with angular speed ω, as shown in Fig. 15.29. Atmospheric pressure is pa. Find expressions for (a) the pressure at the bottom of the pan and (b) the height of the liquid surface, both as functions of the distance r from the axis, given that the height at the center is h0.
FIGURE 15.29 Problem 72
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