287 CHAPTER 6 form flow at locations 1 and 2. Develop a relationship for the force Fp acting on the sluice gate as a function of depths y, and vas mass flow rate m, gravitational constant g, gate width w, and water density p. Sluice gate y1 V1 V2 y2 FIGURE P6-46 6-46 A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in irrigation systems. A force is exerted on the gate due to the difference between the water heights y, and y2 and the flow velocities V, and V2 upstream and downstream from the gate, respecti vely. Take the width of the sluice gate (into the page) to be w. Wall shear stresses along the channel walls may be ignored, and for simplicity, we assume steady, uni-

287 CHAPTER 6 form flow at locations 1 and 2. Develop a relationship for the force Fp acting on the sluice gate as a function of depths y, and vas mass flow rate m, gravitational constant g, gate width w, and water density p. Sluice gate y1 V1 V2 y2 FIGURE P6-46 6-46 A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in irrigation systems. A force is exerted on the gate due to the difference between the water heights y, and y2 and the flow velocities V, and V2 upstream and downstream from the gate, respecti vely. Take the width of the sluice gate (into the page) to be w. Wall shear stresses along the channel walls may be ignored, and for simplicity, we assume steady, uni-

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Example: Water is flowing at 6.00 m/s through a cylindrical pipe with a radius of 7.00 cm. If the…

A: Given data : Initial speed of water , v1 = 6 m/s Radius of…

Q: 5 The tube shown in the figure below is called Venturi tube which can be used as a fluid flowmeter.…

A: (a) Using equation of continuity,

Q: Which of the following is a true statement about an aneurysm (weakening of an artery wall)? A a. The…

A: According to the question we need to mark true or false of the given part.

Q: Water travels through a pipe (seen in the picture) from point 1 to point 2. 1 The pipe descends 5.00…

A: h = 5 mA1 = 2 m2A2 = 0.5 m2FLow rate (Q) = 0.15 m3s

Q: Determine the mass flow rate of water through a pipe with a diameter of 2.1 cm when speed at which…

Q: 24. (II) A geologist finds that a Moon rock whose mass is 9.28 kg has an apparent mass of 6.18 kg…

A: The mass of the rock, The apparent mass of the rock,

Q: 3. Air at 105 kPa and 37°C flows upward through a 6-cm-diameter inclined duct at a rate of 65 L/s.…

A: Given, Pressure, P=105kPa Temperature, T=37°CT=37+273KT=310K The duct rate, v˙=65L/sv˙=0.065m/s The…

Q: The cross-sectional area of a hypodermic syringe is 3.0 cm² and that of the needle, 0.6 mm². What…

A: Write the given values with the suitable variables. As=3 cm2=3×10-4 m2An=0.6 cm2=0.6×10-4 m2P=12 mm…

Q: Macmillan Learning A syringe which has an inner diameter of 0.600 mm is attached to a needle with an…

A: Solution: Given: 1 mm of Hg = 133.322 Pa d1 = inner diameter of syringe = 0.600 mm d2 = inner…

Q: Determine the mass flow rate of water through a pipe with a diameter of 6.1 cm when speed at which…

A: Fluid mechanics is the study of the behavior of fluid under different conditions. Fluids in this…

Q: A piece of wood is 0.600 m long, 0.200 m wide, and 0.075 m thick. Its density is 700 kg/m Part A…

A: Buoyancy Force: It is a physical quantity that represents the force induced in the upward direction…

Q: 1) M H. On the cylindrical container above with a cross section area A we open a hole as shown with…

A: Part (a): The block of mass M kept above water level exerts the force of Mg on the water’s upper…

Q: Question 5 A pipe has a radius of 10 cm, and the fluid flowing through this pipe is 15 m/s. The pipe…

A: As per Bernoulli's principle during a fluid motion, an increase in the speed of fluid will cause a…

Q: Water enters a house through a pipe with an inside diameter of 2.5 cm at an absolute pressure of 4.5…

Q: Consider Bernoulli's equation as it applies to an incompressible fluid flowing through a horizontal…

A: The correct option is, c) it remains constant as the pipe diameter increases

Question

100%

287
CHAPTER 6
form flow at locations 1 and 2. Develop a relationship for the
force Fp acting on the sluice gate as a function of depths y,
and vas mass flow rate m, gravitational constant g, gate width
w, and water density p.
Sluice gate
y1
V1
V2
y2
FIGURE P6-46
6-46 A sluice gate, which controls flow rate in a channel
by simply raising or lowering a vertical plate, is commonly
used in irrigation systems. A force is exerted on the gate due
to the difference between the water heights y, and y2 and the
flow velocities V, and V2 upstream and downstream from
the gate, respecti vely. Take the width of the sluice gate (into
the page) to be w. Wall shear stresses along the channel walls
may be ignored, and for simplicity, we assume steady, uni-

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Determine the pressure at the bottom of a drum 0.50m deep and filled with water.
d
The gauge pressure in a balloon in measured by means of an open-tube manometer that uses water (density = 1.00 x 10° kg/m'). What gauge pressure p is indicated by a difference of 0.0151 m in the heights of the water columns? Pa
For the flow shown in Fig. below, estimate the pressure p₁ and velocity V₁ if V₂ = 20 m/s and H = 1 cm P₁ V₁ Water Hg H 1 53V₂
A liquid-filled tube called a manometer can be used to measure the pressure inside a container by comparing it to the atmospheric pressure and measuring the height of the liquid. Such a device (filled with water) is shown in the figure, measuring the pressure inside a balloon filled with an unknown gas. The water level on the side of the manometer which is open to the air is 22.3 cm higher than on the side connected to the balloon. a) Find the gauge pressure in the balloon, in units of Pa. Recall the density of water is 1000 kg/m3. b) Find the absolute pressure in the balloon, in units of Pa.
Vb = D A D Vmax = m³ c) What is the depth D below the waterline? W max = b) What is the volume of water displaced when the barge is empty? This will be in terms of D. m h Water. line m³ 1) A flat bottomed barge in the water has a base with area A 4000 m². The height, h, of the barge is 2 m. and the distance D is the depth of the barge below the i water line. The mass of the barge when empty is m, = 1,000,000 kg. N a) What is the weight of the empty barge? 9,800,000 mg = 1,000,000 (9.8) W₁ = The theoretical maximum mass of the barge, including its load, will be when the top of the barge is at the water level. d) What is the maximum volume of water displaced, and the mass of this much water? e) What is the theoretical maximum weight of the barge? N Illmax = - 16 hour!! (3) kg 525555, 004 Hae ad 11.
Liquid pressure The pressure P acting at a point in a liquid is directly proportional to the distance d from the surface of the liquid to the point. (a) Express P as a function of d by means of a formula that involves a constant of proportionality k. (b) In a certain oil tank, the pressure at a depth of 2 feet is 118 Ib/ft. Find the value of k in part (a).