To determine Determine the velocity of the water jet required to hold the plate upright. Explanation Show the forces acting on the system as in Figure (1). Refer Figure (1) and take moment about the pivot F j l j = F w l w F j = F w l w l j = F w [ H − 2 3 H ] H = F w ( H / 3 ) H (I) Here, height is H , forces on the plate are F j and F w respectively and width of the plate is l j and l w respectively. Express the force on the plate. F j = ρ V j 2 [ π 4 D 2 ] (II) Here, density is ρ , volumetric flow rate is V j and diameter is D . Express the force of the water jet. F w = γ H 2 H w (III) Here, height is H and plate width is w . Substitute Equations (II) and (III) in Equation (I) to get, ρ V j 2 [ π 4 D 2 ] H = γ H 3 6 w V j 2 = 2 3 γ ρ H 2 w π D 2 V j = 2 3 g H 2 w π D 2 (IV) Here, acceleration due to gravity is g

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

8th Edition

ISBN: 9781119080701

Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Publisher: WILEY

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Chapter 5.2, Problem 56P

To determine

Determine the velocity of the water jet required to hold the plate upright.

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Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

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