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Back to 11.7 Archimedes’ Principle

11.7 Exercise 21

Avg difficulty 2.5

Referring to the figure, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes’ principle). You may assume that the buoyant force is F2−F1F_{2} - F_{1} and that the ends of the cylinder have equal areas AA. Note that the volume of the cylinder (and that of the fluid it displaces) equals (h2−h1)A\left(h_{2} - h_{1}\right) A.

OpenStax College Physics 2e, 11.7 Archimedes’ Principle, exercise 21

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Adapted from College Physics © 2022 Rice University. Licensed under CC BY 4.0. Sources: College Physics 2e, College Physics for AP® Courses 2e. Imported at revision f98d7a7.