3. You are designing a spherical tank (Fig. P5.17) to hold water for a small village...
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3. Newton-Raphson algorithm Solve the following problem (Problem 6.30 of the Edition textbook 6 or Problem 6.17 of the textbook Edition 7): You are designing a spherical tank to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as: where V=volume (m3, h-depth of water in tank (m), and R the tank radius (m). If R-3m, what depth must the...
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...
You have been assigned the job of designing a rapid mix tank for a new water treatment plant. The design flow rate is 1.0 m3/sec. The average water temperature is 10 oC. The following design assumptions have been made: 1. Number of tanks = 1 (with 1 backup) 2. Tank configuration: Circular with liquid depth of 1.0m. 3. Detention time = 40 sec. 4. Velocity gradient = 750 s-1 Design the rapid mix by providing the following: a) Water power...
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,...
Need solution for question 5.6 using
python?
tation to within e, 5.11 Determine the real root of x 80: (a) analytically and (b) with the false-position method to within e, = 2.5%. Use initial guesses of 2.0 and 5.0. Compute the estimated error Ea and the true error after each 1.0% teration 5.2 Determine the real root of (x) 5r - 5x2 + 6r -2 (a) Graphically (b) Using bisection to locate the root. Employ initial guesses of 5.12 Given...
A tank contains 500 kg of a liquid whose specufic gravity is
2. Determine the volume of the liquid in the tank.
1.29 A tank contains 500 kg of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank. 130 Clouds can weigh thousands of pounds due to their liquid water content. Often this content is measured in grams per cubic meter g/m3.Assume that a cumulus cloud occupies a volume of one cubic kilometer,...
2. (10 pts) A municipality is designing an open storm drain channel in the form of an in verted trapezoid. It has a width of L at its base, is symmetric about the vertical, and its sides are at an angle θ to the horizontal (Fig. 2). Assuming the Manning formula, i.e grating for pedestrians where O-v3o./n is fired for this prob- lem (because material and slope are already known), determine Q as a function of Co, L, 0, and...
You are hired to design a rectangular sedimentation tank (length to width ratio = 3:1 and detention time ~ 2 h) for a new water treatment plant (flow rate: 0.04 m3/s; temperature: 20 ℃). Suspended particles can be removed when the overflow rate is higher than the settling velocities of particles. You have finished characterizing the influent particles (assuming all of them are spherical) and obtained the following results: Particle diameter (m) Particle density (kg/m3) Percentile 50 1.4 x 103...
You are hired to design a rectangular sedimentation tank (length to width ratio = 3:1 and detention time ~ 2 h) for a new water treatment plant (flow rate: 0.04 m3/s; temperature: 20 ℃). Suspended particles can be removed when the overflow rate is higher than the settling velocities of particles. You have finished characterizing the influent particles (assuming all of them are spherical) and obtained the following results: Particle diameter (μm) Particle density (kg/m3) Percentile ≥ 50 ≥ 1.4...
1. A fish pond is to be dug into a lawn so that it w hold 10 kL of water (note that 1 kL 1 m3). For æsthetic reasons, the pond is to be cylindrical in shape, with vertical sides. For practical reasons, the pond cannot be more than 1 m deep and must be at least 0.3 m deep (a) (i) Write an expression for the volume V of the pond in terms of its radius r and depth...