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Applications of Integrals: Hydrostatic Pressure and Force: Example 1: Force on a Dam

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First published at 04:01 UTC on April 2nd, 2019.

Math Easy Solutions

MES

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In this video I go over an example on how to go about determining the hydrostatic force on a dam by applying the basic principles of integration. As explained in my last video, water applies increasing pressure with depth and thus to calculate the total force due to the water pressure, we would have to look at a small sub-interval of the dam, determine an approximation for the force, and then take the limit of an infinite number of small sub-intervals. Thus as always we can write this limit as an integral and from there determine the amount of hydrostatic force on the dam. This is a very useful and important example to better understand how to apply integrals to real world physics and engineering problems, so make sure to watch this video!

Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104483&authkey=!ALQbBTRdl0hhIko&ithint=file%2cpdf

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-hydrostatic-pressure-and-force-example-1-force-on-a-dam

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