1-064-Torricelli'sLawWithBox
0This video, 1-064-Torricelli'sLawWithBox.mp4, shows the fall of the height of a column of water in a graduates cylinder of inner radius 2.6 cm, where these is a box at the base of the column of water.
In the modeling scenario 1-064-S-TorricelliBox at https://www.simiode.org/resources/3617 we ask students to apply Torricelli' s Law for a Falling Column of Water to model the height of the column of water for a fixed graduated cylinder in two cases:
(1) the graduated cylinder is filled to 500 ml (marked as a height of 23.6 cm) and water exits a small bore hole at the bottom which has a diameter of 5/32" or radius of 0.198438 cm
(2) the graduated cylinder is initially filled to 500 ml and a configuration of four small blocks is placed at the bottom of the cylinder, thus raising the height of the column of water, now marked as a height of 26.25 cm. The water exits a small bore hole at the bottom which has a diameter of 5/32" or radius of 0.198438 cm.
We challenge students to, "Model both situations for the height of the column of water as a function of time using the differential equation for Torricelli's Law and ascertain which column of water empties first, the column with the blocks or without the blocks."
Video is best scene at 720p.
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