Solved: Suppose water is leaking from a tank through a circular hole of area Ah at its

Chapter 1, Problem 13

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Suppose water is leaking from a tank through a circular hole of area Ah at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to cAh \!2ih, where c (O < c < 1) is an empirical constant. Determine a differential equation for the height h of water at time t for the cubical tank in FIGURE 1.3.12. The radius of the hole is 2 in and g = 32 ftls2 . t 10 ft _1 FIGURE 1.3.12 Cubical tank in 13

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