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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This...Ch. 5.2 - Water flows steadily between fixed vanes, as shown...Ch. 5.2 - The hydraulic dredge shown in Fig. P5.48 is used...Ch. 5.2 - A static thrust stand is to be designed for...Ch. 5.2 - A vertical jet of water leaves a nozzle at a speed...Ch. 5.2 - A horizontal, circular cross-sectional jet of air...Ch. 5.2 - Calculate the pressure change (p2 − p1) for the...Ch. 5.2 - Air flows into the atmosphere from a nozzle and...Ch. 5.2 - Water flows from a large tank into a dish as shown...Ch. 5.2 - Figure P5.55 shows the configuration of the center...Ch. 5.2 - The plate shown in Fig. P5.56 is 0.5 m wide...Ch. 5.2 - Two water jets of equal size and speed strike each...Ch. 5.2 - Figure P5.58 shows coal being dropped from a...Ch. 5.2 - Determine the magnitude of the horizontal...Ch. 5.2 - Water flows steadily into and out of a tank that...Ch. 5.2 - The rocket shown in Fig. P5.61 is held stationary...Ch. 5.2 - Air discharges from a 2-in.-diameter nozzle and...Ch. 5.2 - Water is sprayed radially outward over 180° as...Ch. 5.2 - A sheet of water of uniform thickness (h = 0.01 m)...Ch. 5.2 - The results of a wind tunnel test to determine the...Ch. 5.2 - A variable mesh screen produces a linear and...Ch. 5.2 - Prob. 67P Ch. 5.2 - Prob. 68P Ch. 5.2 - Prob. 69P Ch. 5.2 - A Pelton wheel vane directs a horizontal, circular...Ch. 5.2 - Prob. 71P Ch. 5.2 - Thrust vector control is a technique that can be...Ch. 5.2 - Prob. 73P Ch. 5.2 - Prob. 74P Ch. 5.2 - Prob. 75P Ch. 5.2 - Prob. 76P Ch. 5.2 - (See The Wide World of Fluids article titled “Bow...Ch. 5.2 - Water flows from a two-dimensional open channel...Ch. 5.2 - Prob. 79P Ch. 5.2 - A snowplow mounted on a truck clears a path 12 ft...Ch. 5.2 - Prob. 81P Ch. 5.2 - Water at 60 °F is flowing through the 2-in. steel...Ch. 5.2 - Five liters/s of water enter the rotor shown in...Ch. 5.2 - Figure P5.84 shows a simplified sketch of a...Ch. 5.2 - The hydraulic turbine shown in Fig. P5.85 has a 10...Ch. 5.2 - Prob. 86P Ch. 5.2 - Calculate the torque required to drive the pump...Ch. 5.2 - Prob. 88P Ch. 5.2 - Prob. 89P Ch. 5.2 - Prob. 90P Ch. 5.3 - Distinguish between shaft work and other kinds of...Ch. 5.3 - Prob. 92P Ch. 5.3 - A horizontal Venturi flow meter consists of a...Ch. 5.3 - Figure P5.94 shows the mixing of two streams. The...Ch. 5.3 - Liquid water at 40 °F flows down a vertical,...Ch. 5.3 - A simplified schematic drawing of the carburetor...Ch. 5.3 - Oil (SG = 0.9) flows downward through a vertical...Ch. 5.3 - An incompressible liquid flows steadily along the...Ch. 5.3 - Prob. 99P Ch. 5.3 - A water siphon having a constant inside diameter...Ch. 5.3 - Figure P5.101 shows a test rig for evaluating the...Ch. 5.3 - For the 180° elbow and nozzle flow shown in Fig....Ch. 5.3 - An automobile engine will work best when the back...Ch. 5.3 - (See The Wide World of Fluids article titled...Ch. 5.3 - Based on flowrate and pressure rise information,...Ch. 5.3 - Oil (SG = 0.88) flows in an inclined pipe at a...Ch. 5.3 - The pumper truck shown in Fig. P5.107 is to...Ch. 5.3 - The hydroelectric turbine shown in Fig. P5.108...Ch. 5.3 - A pump is to move water from a lake into a large,...Ch. 5.3 - Water is pumped from the tank shown in Fig....Ch. 5.3 - Water is pumped steadily through the apparatus...Ch. 5.3 - Water is pumped from the large tank shown in Fig....Ch. 5.3 - Water flows by gravity from one lake to another as...Ch. 5.3 - The turbine shown in Fig. P5.114 develops 100 hp...Ch. 5.3 - Prob. 115P Ch. 5.3 - Water is to be moved from one large reservoir to...Ch. 5.3 - Determine the volume flow rate and minimum power...Ch. 5.3 - Prob. 118P Ch. 5.3 - Water is to be pumped from the large tank shown in...Ch. 5.3 - Prob. 120P Ch. 5.3 - When the pump shown in Fig. P5.121 is stopped,...Ch. 5.3 - Air flows past an object in a pipe of 2-m diameter...Ch. 5.3 - Water flows steadily down the inclined pipe as...Ch. 5.3 - When fluid flows through an abrupt expansion as...Ch. 5.3 - Water (60 °F) flows through an annular space...Ch. 5.3 - Find the acceleration of the cart shown in Fig....Ch. 5.3 - Prob. 128P Ch. 5.3 - Water flows vertically upward in a circular cross-...Ch. 5.3 - Prob. 130P Ch. 5.3 - The cross-sectional area of a rectangular duct is...Ch. 5.3 - A small fan moves air at a mass flowrate of 0.004...Ch. 5.3 - Air enters a radial blower with zero angular...Ch. 5.3 - Water enters a pump impeller radially. It leaves...Ch. 5.3 - Water enters an axial-flow turbine rotor with an...Ch. 5.3 - An inward flow radial turbine (see Fig. P5.136)...Ch. 5.5 - Prob. 1LLP Ch. 5.5 - Prob. 2LLP Ch. 5.5 - Prob. 3LLP Ch. 5.5 - Prob. 4LLP

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