MAT136H1 Lecture Notes - Metric System, Pythagorean Theorem, Riemann Sum
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MAT136H1 Full Course Notes
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Question #2 (medium): hydrostatic force on a submerged vertical plate. The hydrostatic force is given by the depth below the surface, the area of the thin th strip. A vertical plate that is submerged in water has the shape shown by the diagram. Express the hydrostatic force against one side of the place by a riemann sum as well as an integral, and then evaluate it. [a semi-circle with diameter of meter submerged meter deep] Since the units are given in the standard international metric system, ( ) As for the th rectangular strip, the area is . If any th strip is chosen to be x distance from the bottom of the semi-circle, then based on pythagorean theorem, the width (or even length) is: The distance the th strip is located beneath the water surface is ( )
