Find Time Taken to Empty a Tank - Continuity Equation Problem

How long will it take to drain a cylindrical tank? This Bernoulli Equation and Continuity Equation Example Problem uses calculus to solve the differential equation that results from the flowrate of water leaving the tank slowing down as the height in the tank gets lower.

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This is one of the harder Bernoulli Equation problems you'll encounter early in a Fluid Mechanics course. If you can follow this continuity equation problem and solution, you should start feeling pretty confident that you can handle almost anything your professor could throw at you.


TIMECODES
0:00 Bernoulli Equation
2:54 Find Flowrate Exiting the Tank
5:20 Solve Differential Equation
7:54 Most Common Mistake