A certain tank has a circular bottom area A = 20 ft2. It
Chapter , Problem 7.16(choose chapter or problem)
A certain tank has a circular bottom area \(A=20 \ \mathrm{ft}^{2}\). It is drained by a pipe whose linear resistance is \(R=150 \mathrm{~m}^{-1} \mathrm{sec}^{-1}\). The tank contains water whose mass density is \(1.94 \ \mathrm{slug} / \mathrm{ft}^{3}\).
a. Estimate how long it will take for the tank to empty if the water height is initially 30 ft.
b. Suppose we dump water into the tank at a rate of \(0.1 \ \mathrm{ft}^{3} / \mathrm{sec}\). If the tank is initially empty and the outlet pipe remains open, find the steady-state height and the time to reach one-third that height, and estimate how long it will take to reach the steady-state height.
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