A liquid is filling a container that has the form of a cone of angle around

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A liquid is filling a container that has the form of a cone of angle α around a vertical axis (Fig. 1.9). The liquid enters the cone from the apex through a hole of diameter d at a velocity v (t) = kt where k is a constant. When the surface of the liquid is at height h (t), the volume is


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Initially, at time t = 0, the height h (0) = 0. Find an expression for the rate of change of volume V˙ (t) and determine h (t).


Figure 1.9


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Principles Of Thermodynamics

ISBN: 9781108426091

1st Edition

Authors: Jean-Philippe Ansermet, Sylvain D. Brechet

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