Title

Torricelli's playground: draining inclined cylinders and other variations on the theme

Poster Number

23

Format

Poster Presentation

Faculty Mentor Name

Aleksei Beltukov

Abstract/Artist Statement

Torricelli's Law is used in ODE courses to illustrate separable equations. Using the law, one finds the time it takes to drain a container of liquid through a pinhole. A typical textbook exercise is to compute the draining time of a tank in the shape of a cylinder or a sphere. We decided to explore Torricel!i's Law in more depth and stumbled across interesting variations:

Location

Wendell Phillips Center, 1st floor hallways

Start Date

3-5-2008 1:00 PM

End Date

3-5-2008 3:00 PM

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May 3rd, 1:00 PM May 3rd, 3:00 PM

Torricelli's playground: draining inclined cylinders and other variations on the theme

Wendell Phillips Center, 1st floor hallways

Torricelli's Law is used in ODE courses to illustrate separable equations. Using the law, one finds the time it takes to drain a container of liquid through a pinhole. A typical textbook exercise is to compute the draining time of a tank in the shape of a cylinder or a sphere. We decided to explore Torricel!i's Law in more depth and stumbled across interesting variations: