Explanation Given: The force exerted by a liquid on an object submerged vertically. Consider a plate submerged vertically in a fluid of density δ as shown. Set up a coordinate system with the horizontal axis on the surface of the fluid and the positive h − a x i s (depth) pointing down. Greater depths correspond to larger values of h . Assume that the plate is oriented so that its top and bottom are located aunts and b units below the surface, respectively. Think the plate as a pile of sub plates or slabs, each so thin that it is being at a constant depth below the surface. The slap has thickness Δ h and length L = L ( h ) . So that its area is Δ A = = L Δ h . The slab is at a constant depth h below the surface , the fluid force on its surface is Δ F = ( P R E S S U R E ) ( A R E A ) = δ h Δ A = δ h L ( h ) Δ h Integrate it as h varies from a to b and mode; the total force on the plate

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Calculus

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The force exerted by a liquid on an object submerged vertically.

Solution Summary: The author explains the force exerted by a liquid on an object submerged vertically.

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