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 water leaving the tank per second to cA h gh, where c (0 c 1) is an empirical constant Determine a differential equation for the height h of water at time t for the cubical tank shown in the following figure The radius of the hole is 2 in , and g 32 ft s 2 10 ft circular hole Es

Question: 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

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 water leaving the tank per second to cA_hˆšgh, where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height h of water at time t for the cubical tank shown in the following figure. The radius of the hole is 2 in., and g = 32 ft/s².

10 ft circular hole Es-

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