11. Figure 10 shows the wall of a dam on a water reservoir. Use the Trapezoidal Rule and the width and depth measurements in the figure to estimate the fluid force on the wall. Depth (fi) 1800 (ft) 0- 1650 20 1400 40+ 1100 60- 900 80 600 100 FIGURE 10

11. Figure 10 shows the wall of a dam on a water reservoir. Use the Trapezoidal Rule and the width and depth measurements in the figure to estimate the fluid force on the wall. Depth (fi) 1800 (ft) 0- 1650 20 1400 40+ 1100 60- 900 80 600 100 FIGURE 10

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

See similar textbooks

Related questions

Q: A fluid has density 1200 kg/m3 and flows with velocity ī measured in meters, and the components of ū…

Q: 15. Figure 3 shows an object whose face is an equilateral triangle with 5-m sides. The object is 2 m…

Q: Calculate the mass of the sphere x² + y² + z² ≤ 4, the density at the point p(x,y,z) is proportional…

Q: 10. Show that the volume inside the ellipsoid ++=1 is 4abe (Hint: Use the change of variables x =au,…

A: We have to find volume of ellipsoid: Concept:

Q: A fluid has density 1200 kg/m³ and flows with velocity ū = xi + yj + zk, where x, y, and z are…

A: Use the integral formula of flow rate given by stoke's theorem to calculate its value. Determine the…

Q: We consider a thin plate having the shape of the surface S parametrized by Ř(u, v) = v cos(u)i + v…

A: The equation of the thin plate is as given below. Ru,v=vcosui+vsinuj+uvk and 0≤u≤4π 0≤v≤3

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: Explained below

Q: Suppose that a curved lamina o with constant density 8(x, y, z) = 8o is the portion of the…

A: mass=∫∫∫δx,y,z dv

Q: A fluid has density 1000 kg/m³ and flows with velocity = ci +yj + zk, where x, y, and z are measured…

A: We have to find the rate flow outward through the part of paraboloid . We can to use the methods of…

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

Q: The velocity components for a two dimensional fluid system can be given in the Eulerian system by u…

A: Given, u = 2x+2y+3t ...........1 v = x+y+12t…

Q: Consider the area bounded by the points P, (6,6), P2(8,4), and P3(12,4) Find the volume if it is…

A: Given area is a triangle with vertices 6,6, 8,4 and 12,4. And a line x=-3. The region with the line…

Q: A fluid has density 1000 kg/m3 and flows with velocity ū = xi + yj + zk, where x, y, and z are…

A: A fluid density 1000 kg/m3 andflows with velocity v→=xi→+yj→+zk→where x,y and z are measured…

Q: Let D be the domain between the line y = bx and the parabola y = b where a, b > 0. Assume the mass…

Q: (a). A two-dimensional fluid motion is given by the complex potential w(z) = iz* (cos(nt) – i…

A: Given, wz=iz5cosnt-isinnt=iz5cosnt+z5sinntThen,u=z5sinntv=z5cosnt

Q: 3 27 Find the center of mass of a thin plate of constant density & covering the region bounded by…

A: Center of mass of a body is a point at which it can be considered that entire mass of body is…

Q: A circular observation window at a seawater aquarium has a radius of 1 foot, and the center of the…

Q: Find the mass and center of gravity of the lamina bounded by the x-axis, the line x = 49, and the…

A: Given problem:- Find the mass and center of gravity of the lamina bounded by the x-axis, the line x…

Q: A vertical gate in a dam has the shape of an isosceles trapezoid 8 meters across the top and 6…

A: depth=-y Length=2x Force=Pressure x Area Force=ρgh x Area Force=w h yx 2 ∆y ∆F=w -y . 2x∆y…

Q: Tind the mass of oclant of the ellipsoid 2. rC 16 25 36 the density at any point being P = 5cyz.

A: The given equation of the ellipsoid is x216+y225+z236=1. Therefore, -4≤x≤4-5≤y≤5-6≤z≤6 For the…

Q: Let p(x) = vx represent the radial density of a disk. Calculate the mass of the disk of radius 4…

Q: A fluid has density 800 kg/m³ and flows with velocity i = ri + yj+ zk, where x, y, and z are…

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

Q: Find the mass and center of gravity of the lamina bounded by the I-axis, the line z = 49, and the…

Q: The steel beam of uniform T-section shown in Figure Q3(b) is simply supported over a length of 2.5 m…

Q: A fluid has density 1000 kg/m³ and flows with velocity v = xi + yj + zk, where position is measured…

A: Given density 1000 kg/m3 velocity v= x i^+y j^+z k^ Given Paraboloid the x = 36-y 2 - z ²…

Q: If the area bounded by the curves y = x + 1, x = 1, x = 2 and y = 0 are revolved about the axis y =…

A: We have to find the moment of inertia of a solid generated by revolving y=x+1, x=1, x=1 and y=0…

Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: Find the mass and center of mass of a wire in the shape of the helix x = t, y = 2 cos(t), z = 2…

A: Given :- The mass and center of mass of a wire in the shape of helix x = t , y = 2 cos t , z =…

Q: Find the flow rate of F = across the portion of the surface z = over the unit square [0, 1] × [0, 1]…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Use 6(x, y, z) ds Dp(x, y, z) V(P) = k where k = 8.99 × 10° N m²/C2, to compute the electric…

Q: A fluid motion is given by V=(y+z)i+(z+x)j+(x+y)k. Is this motion irrotational? If the velocity…

Q: The uniform rod weighs 420LBa and has its center of gravity at G. Determine the tension in the cable…

Q: ht. The structure is pinned together at points A, B, and C and held in equilibrium by the cable CD.…

Q: Find the flux of F= through of the total surface of the closed cone y=(x2+z2)0.5 with 0 < y < 2…

Q: Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet…

A: Given: Height of equilateral plate is 2 feet. Pool is 6 feet deep. Triangle is resting on its point…

Q: 3) Find the mass and center of mass of a wire in the shape of the helix: x = t, y = cost,z = sin t;…

A: Given x=t, y = cost, z = sint; 0 ≤t≤ 2, We have to find the mass and center of mass of a wire in…

Q: Show that polar form of equation of continuity for a two dimensional incompressible fluid is av…

Q: A wire of density d(x, y, z) = 15sqrt(y + 2) lies along the curve r(t) = (t2 - 1)j + 2t k, -1<=…

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

Q: Let C be the curve of intersection between the ellipsoid x?+2y?+3z2=1 and the plane z-x. Let m be…

A: Given that the curve C is the intersection between the ellipsoid x2+2y2+3z2=1 and the plane z=x Let…

Q: Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet…

A: We will find force on horizontal slice of plate and then integrate it to find total force . 56u

Q: Find the mass and the center of gravity of the cylindrical solid that has density 8(x,y,z) = 9 – z…

A: To find the mass and the center of gravity

Q: Find the mass and center of mass of a wire of constant density δ that lies along the helix r(t) = (2…

A: Given, The helix r(t) = (2 sin t)i + (2 cos t)j + 3t k, 0 ≤ t ≤ 2π.

Q: Find the center of mass of a thin wire lying along the curve r(t) = 5ti + tj + k, 0sts2 if the…

A: Mass and Center of Mass of a Wire:- Mass and center of mass of a wire: - The following formulas are…

Q: 15. Let R be the plate in the shape of the region under y = sin x for 0 < x < in Figure 13(A). If R…

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume…

Q: Consider an elliptic piece of wire, represented by the curve E : + y? = 1 4 in R?. Assume that this…

Q: (3) Consider a wire in the shape of a semi circle of radius 2, given by x² + y² = 4 and y ≥ 0.…

A: Formula: The mass of the region R with density function ρx, y is: m=∫∫Rρx, y dA The center of mass…

Q: 29. Find the z-coordinate of the center of mass of the first octant of the unit sphere with mass…

A: We have to find the z-coordinate of the center of mass of the first octant of the unit sphere with…

Question

11. Figure 10 shows the wall of a dam on a water reservoir. Use the Trapezoidal Rule and the width and depth measurements
in the figure to estimate the fluid force on the wall.
Depth (fi)
1800 (ft)
0-
1650
20
1400
40+
1100
60-
900
80
600
100
FIGURE 10

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
A plate in the form of an isosceles triangle with base 10 ft and altitude 4 ft is submerged vertically in machine oil as shown in Figure 6.8.6a. Find the fluid force F against the plate surface if the oil has weight density ρ = 30 lb/ft³ .
A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the fluid force on a circular end of the tank when the tank is half full, where the diameter is 3 feet and the gasoline weighs 42 pounds per cubic foot.
A wire takes the shape of the semicircle x2+y2 =1 y>0 and is thicker near its base than near the top. Find the center of mass of the wire if the linear density at any point is proportional to its distance from the line y=1
Approximate the depth of the water in the tank in Exercise 9 if the fluid force is one-half as great as when the tank is full. Explain why the answer is not 3/2
In a pool filled with water to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by 4 ft rectangular plate if the plate rests vertically at the bottom of the pool a. on its 4-ft edge. b. on its 3-ft edge.
Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water
Let F be the fluid force on a side of a semicircular plate of radius r meters, submerged vertically in water so that its diameter is level with the water’s surface (Figure).
Prove that the force on the side of a rectangular plate of area A submerged vertically in a fluid is equal to p0A, where p0 is the fluid pressure at the center point of the rectangle.
A vertical gate in a dam has the shape of an isosceles trapezoid 8 metes across the top and 6 meters across the bottom, with a height of 5 meters. What is the fluid force on the gate when the top of the gate is 4 meters below the surface of the water?
Aspring whose equilibrium length is 15 cm exerts a force of 50 N when it is stretched to 20 cm. Find the work required to stretch the spring from 22 cm to 24 cm.
A circular plate of radius r feet is submerged vertically in a tank of fluid that weighs w pounds per cubic foot. The center of the circle is k feet below the surface of the fluid, where k > r. Show that the fluid force on the surface of the plate is F = wk( r2 )