A clepsydra, or water clock, is a glass container with a small hole in the bottom through
Question:
(a) Determine V as a function of h.
(b) Show that
dV/dt = Ï[f(h)]2 dh/dt
(c) Suppose that A is the area of the hole in the bottom of the container. It follows from Torricelli's Law that the rate of change of the volume of the water is given by
dV/dt = kA h
Where is a negative constant. Determine a formula for the function f such that dh/dt is a constant C. What is the advantage in having dh/dt = C?
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