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part (b) find h
A spherical tank of radius R meters is to be used...
Consider a hemi-spherical tank with radius R = 16 see figure that is initially entirely filled...
Consider a hemi-spherical tank with radius R = 16 see figure that is initially entirely filled with a fluid. At time t=0, the fluid begins to drain through an opening in the bottom of the tank see figure] until the tank is completely empty at t = tend- t= 0 te (0, tend) (a) At any time t, consider the maximum depth of fluid in the tank, h = h(t), and the corresponding radius of the surface of the fluid,...
please answer this multiple choice question The following statement concerns questions 6-8. A spherical water tank of radius r is at a depth h from the ground. Suppose that water has density p. G...
please answer this multiple choice question
The following statement concerns questions 6-8. A spherical water tank of radius r is at a depth h from the ground. Suppose that water has density p. Ground 0.0 Figure 2: Spherical underground water tank. 6. (10 points) Find the volume of a horizontal cross-section at a depth u below the ground. (A) dV (r+h-u)u (C) dV- (r+h - u)2 du (D) dV + h -u)' du (E) dV π (r2-(r + h-u)*) du...
Using MATLAB 18. A cylinder with base radius r and height h is con- structed inside...
Using MATLAB
18. A cylinder with base radius r and height h is con- structed inside a sphere such that it is in contact with the surface of a sphere, as shown in the figー ure. The radius of the sphere is R- 11 in. (a) Create a polynomial expression for the vol- / >1 ume V of the cylinder in terms of h. (b) Make a plot of V versus h for 0 shs11 in. (c) Using the roots...
A cylindrical tank (height h, radius r) is full to the brim of water and its...
A cylindrical tank (height h, radius r) is full to the brim of water and its top is open to the outside air. What expression describes the speed of fluid flowing out of a hole that is opened up at height h′ above the bottom of the tank?
A conical tank of radius R and height H, pointed end down, is full of water....
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
slowly. Find an expression for the time T it takes to drain the
tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and...
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and height h of such a cylinder so that the volume of the cylinder is a maximum. Given: For a cylinder, the surface area is S = 2^r2 + 2trh and the volume is V = arh (where r is the radius and h is the height of the cylinder). I (5)
of MATLAS CHAPTER + An Owens Use MATLAB to calculate 6X7)+70-145 48.2855) - 9 c27310* +60(14)...
of MATLAS CHAPTER + An Owens Use MATLAB to calculate 6X7)+70-145 48.2855) - 9 c27310* +60(14) Check your answers with a calculator Use MATLAB to compute the following expression 16- 16-12 c. 161-12 d. 642 More UAB expression 23 d. 1003 st and smalle lculations there low and under he calculate TLAB todo the te 7. What answer is produced by the following MATLAB a. 1004-1 1004-1/2 c. 100(-1/2) The functions realmax and realmin give the largest sible numbers that...
Problem 3 A water tank has the shape of an inverted circular cone with base radius Rand height H....
Problem 3 A water tank has the shape of an inverted circular cone with base radius Rand height H. If water is being pumped into the tank, and at certain timeo 0, (in seconds) the height of the water is given by h(t). (a) Sketch h(t) for t0. (Briefly, sketch the diagram, however, indicate the maximum height on the y axis.) (b) Is the graph concave upward or concave downward? e Suppose a bce Which do you think r he)-Ex...
part 1 of 3 Consider a solid insulating sphere of radius b with nonuniform charge density...
part 1 of 3 Consider a solid insulating sphere of radius b with nonuniform charge density p = ar, where a is a constant. Find the charge contained within the radius r<b as in the figure. The volume element dV for a spherical shell of radius r and thickness dr is equal to 47 r2 dr. part 2 of 3 If a = 5 x 10-6 C/m' and b = 1 m, find E at r = 0.6 m. The...
Suppose liquid is stored fully in a spherical tank with radius R (3.25 m) and the...
Suppose liquid is stored fully in a spherical tank with radius R (3.25 m) and the outlet valve is opened at a constant flow rate of F (7.63 m3/min). The governing equation of the process is given as Te Rh? – žrth = $1R3 – Ft Determine the liquid level in the tank, h, after 14 min using modified Newton-Raphson with finite difference formula. Show at least 3 iteration of calculation.
Consider a hemi-spherical tank with radius R = 16 see figure that is initially entirely filled with a fluid. At time t=0, the fluid begins to drain through an opening in the bottom of the tank see figure] until the tank is completely empty at t = tend- t= 0 te (0, tend) (a) At any time t, consider the maximum depth of fluid in the tank, h = h(t), and the corresponding radius of the surface of the fluid,...
please answer this multiple choice question
The following statement concerns questions 6-8. A spherical water tank of radius r is at a depth h from the ground. Suppose that water has density p. Ground 0.0 Figure 2: Spherical underground water tank. 6. (10 points) Find the volume of a horizontal cross-section at a depth u below the ground. (A) dV (r+h-u)u (C) dV- (r+h - u)2 du (D) dV + h -u)' du (E) dV π (r2-(r + h-u)*) du...
Using MATLAB
18. A cylinder with base radius r and height h is con- structed inside a sphere such that it is in contact with the surface of a sphere, as shown in the figー ure. The radius of the sphere is R- 11 in. (a) Create a polynomial expression for the vol- / >1 ume V of the cylinder in terms of h. (b) Make a plot of V versus h for 0 shs11 in. (c) Using the roots...
A conical tank of radius R and height H, pointed end down, is
full of water. A small hole of radius r is opened at the bottom of
the tank, with r, much much less than, R so that the tank drains
slowly. Find an expression for the time T it takes to drain the
tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from
the hole to the height of the water in the cone.
Hint...
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and height h of such a cylinder so that the volume of the cylinder is a maximum. Given: For a cylinder, the surface area is S = 2^r2 + 2trh and the volume is V = arh (where r is the radius and h is the height of the cylinder). I (5)
of MATLAS CHAPTER + An Owens Use MATLAB to calculate 6X7)+70-145 48.2855) - 9 c27310* +60(14) Check your answers with a calculator Use MATLAB to compute the following expression 16- 16-12 c. 161-12 d. 642 More UAB expression 23 d. 1003 st and smalle lculations there low and under he calculate TLAB todo the te 7. What answer is produced by the following MATLAB a. 1004-1 1004-1/2 c. 100(-1/2) The functions realmax and realmin give the largest sible numbers that...
Problem 3 A water tank has the shape of an inverted circular cone with base radius Rand height H. If water is being pumped into the tank, and at certain timeo 0, (in seconds) the height of the water is given by h(t). (a) Sketch h(t) for t0. (Briefly, sketch the diagram, however, indicate the maximum height on the y axis.) (b) Is the graph concave upward or concave downward? e Suppose a bce Which do you think r he)-Ex...
part 1 of 3 Consider a solid insulating sphere of radius b with nonuniform charge density p = ar, where a is a constant. Find the charge contained within the radius r<b as in the figure. The volume element dV for a spherical shell of radius r and thickness dr is equal to 47 r2 dr. part 2 of 3 If a = 5 x 10-6 C/m' and b = 1 m, find E at r = 0.6 m. The...
Suppose liquid is stored fully in a spherical tank with radius R (3.25 m) and the outlet valve is opened at a constant flow rate of F (7.63 m3/min). The governing equation of the process is given as Te Rh? – žrth = $1R3 – Ft Determine the liquid level in the tank, h, after 14 min using modified Newton-Raphson with finite difference formula. Show at least 3 iteration of calculation.
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