In the previous problem, we imagined a bathtub draining. Water would leave the tub with a speed of $2.9 \;\mathrm{m/s}$ when the tub is full. Suppose the cross sectional area of the drain is $8.0 \;\mathrm{cm}^2.$ You may assume that all water leaving the bathtub through the drain exits through the drain with the same speed, and that speed follows the theory mentioned in part (A). Also suppose that we pour $1.0 \; \mathrm{L/s}$ of water into the bathtub. $1 \;\mathrm{L}$ stands for "one liter", it is defined as \[1 \;\mathrm{L} = 10^3 \;\mathrm{cm}^3.\] Then after some time, the water in the tub will come to a constant height as we continuously pour water in and it continuously leaves. We can call this the "steady state". What percentage of the tub will be full of water in the steady state?

Lilliam0216 Aug 2, 2024