To determine The force on the latch is independent of the supply pressure and the height of the tank. Explanation Write the static pressure equation for the pressure acting on the center point of the gate. h c × γ w = p + h × γ w (I). Here, static pressure of the water column is h C , specific weight of the water is γ w , pressure head of the water is h and pressure of the water is p . Write the expression for the resultant force acting on the gate. F R = h c γ w A (II). Here, area of the gate is A . Substitute equation (I) in equation (II). F R = ( p + h × γ w ) A (III). Write the expression for the area of the gate. A = π r 2 (IV) Here, radius of the gate is r . Substitute equation (IV) in equation (III). F R = ( p + h × γ w ) π r 2 (V) Write the expression for the moment of inertia of the gate. I x x = π 4 r 4 (V) Write the expression for the point of application of resultant force by application. y R = I x x A × h c + h c (VI) Substitute equation (I), (IV), and (V) in equation (VI) and simplify

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ISBN: 9781119571490

Author: GERHART

Publisher: WILEY

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Chapter 2.8, Problem 89P

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The force on the latch is independent of the supply pressure and the height of the tank.

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Chapter 2.8, Problem 88P

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Chapter 2 Solutions

FUNDAMENTALS OF FLUID MECHANICS

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