Explanation Given information: D i a m e t e r of gate(d) = 2 m radius of gate (r) =1 m F o r c e due to water (F w ) = ρ gA X ¯ ρ is density of water A is area of gate = π r 2 = π m 2 w h e r e X ¯ is centroidal height of gate from free surface = h 1 + h 2 2 h 1 is the height of top surface of gate from free surface = 3 m h 2 is the height of bottom surface of gate from free surface = 5 m X ¯ = 3 + 5 2 = 4 m Calculation: Now the force due to water will be F = 1000 * 9.81 * ( π ) * ( 4 ) F = 123276

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.72P

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