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2012-Lensyl-Urbano-The Draining of a Plastic Bottle-Integrating a Physics Experiment into Calculus

Author(s): Lensyl Urbano

NA

Keywords: in-class activity experiment Torricelli's Law cylinder of water expderiment

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Abstract

Resource Image I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained.

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Urbano, Lensyl. 2012. The Draining of a Plastic Bottle: Integrating a Physics Experiment into Calculus.  Montessori Muddle.

See http://montessorimuddle.org/2012/05/01/the-draining-of-a-jug-integrating-a-physics-experiment-into-calculus/ . Accessed 28 March 2023.

Abstract: I punched a small hole (about 1mm radius) in a one gallon plastic bottle and had my students measure the rate at which water drained. Even though the apparatus and measurement technique was fairly rough, we were able to, with a little calculus, determine the equation for the height of the water in the bottle as a function of time.

Keywords:  differential equation, model, parameter estimation, experiment, Torricelli’s Law, data

 

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Author(s): Lensyl Urbano

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