Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 28, Problem 35P
Perform the same computation as in the first part of Sec. 28.3, but with
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Chapter 28 Solutions
Numerical Methods for Engineers
Ch. 28 - 8.1 Perform the first computation in Sec. 28.1,...Ch. 28 - 28.2 Perform the second computation in Sec. 28.1,...Ch. 28 - A mass balance for a chemical in a completely...Ch. 28 - 28.4 If, calculate the outflow concentration of a...Ch. 28 - 28.5 Seawater with a concentration of 8000 g/m3...Ch. 28 - 28.6 A spherical ice cube (an “ice sphere”) that...Ch. 28 - The following equations define the concentrations...Ch. 28 - 28.8 Compound A diffuses through a 4-cm-long tube...Ch. 28 - In the investigation of a homicide or accidental...Ch. 28 - The reaction AB takes place in two reactors in...
Ch. 28 - An on is other malbatchre actor can be described...Ch. 28 - The following system is a classic example of stiff...Ch. 28 - 28.13 A biofilm with a thickness grows on the...Ch. 28 - 28.14 The following differential equation...Ch. 28 - Prob. 15PCh. 28 - 28.16 Bacteria growing in a batch reactor utilize...Ch. 28 - 28.17 Perform the same computation for the...Ch. 28 - Perform the same computation for the Lorenz...Ch. 28 - The following equation can be used to model the...Ch. 28 - Perform the same computation as in Prob. 28.19,...Ch. 28 - 28.21 An environmental engineer is interested in...Ch. 28 - 28.22 Population-growth dynamics are important in...Ch. 28 - 28.23 Although the model in Prob. 28.22 works...Ch. 28 - 28.25 A cable is hanging from two supports at A...Ch. 28 - 28.26 The basic differential equation of the...Ch. 28 - 28.27 The basic differential equation of the...Ch. 28 - A pond drains through a pipe, as shown in Fig....Ch. 28 - 28.29 Engineers and scientists use mass-spring...Ch. 28 - Under a number of simplifying assumptions, the...Ch. 28 - 28.31 In Prob. 28.30, a linearized groundwater...Ch. 28 - The Lotka-Volterra equations described in Sec....Ch. 28 - The growth of floating, unicellular algae below a...Ch. 28 - 28.34 The following ODEs have been proposed as a...Ch. 28 - 28.35 Perform the same computation as in the first...Ch. 28 - Solve the ODE in the first part of Sec. 8.3 from...Ch. 28 - 28.37 For a simple RL circuit, Kirchhoff’s voltage...Ch. 28 - In contrast to Prob. 28.37, real resistors may not...Ch. 28 - 28.39 Develop an eigenvalue problem for an LC...Ch. 28 - 28.40 Just as Fourier’s law and the heat balance...Ch. 28 - 28.41 Perform the same computation as in Sec....Ch. 28 - 28.42 The rate of cooling of a body can be...Ch. 28 - The rate of heat flow (conduction) between two...Ch. 28 - Repeat the falling parachutist problem (Example...Ch. 28 - 28.45 Suppose that, after falling for 13 s, the...Ch. 28 - 28.46 The following ordinary differential equation...Ch. 28 - 28.47 A forced damped spring-mass system (Fig....Ch. 28 - 28.48 The temperature distribution in a tapered...Ch. 28 - 28.49 The dynamics of a forced spring-mass-damper...Ch. 28 - The differential equation for the velocity of a...Ch. 28 - 28.51 Two masses are attached to a wall by linear...
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- An Inclining experiment done on a ship thats 6500 t, a mass of 30t was moved 6.0 m transvesly causing a 30 cm deflection in a 6m pendulum, calculate the transverse meta centre height.arrow_forwarda ship 150 m long and 20.5 m beam floats at a draught of8 m and displaces 19 500 tonne. The TPC is 26.5 and midshipsection area coefficient 0.94. Calculate the block, prismatic andwaterplane area coefficients.arrow_forwardA vessel loads 680 t fuel between forward and aft deep tanks. centre of gravity of forward tank is 24m forward of ships COG. centre to centre between tanks is 42 m. how much in each tank to keep trim the samearrow_forward
- Beam of a vessel is 11% its length. Cw =0.72. When floating in SW of relative denisity 1.03, TPC is 0.35t greater than in freshwater. Find the length of the shiparrow_forwardAn inclining experiment was carried out on a ship of 4000tonne displacement, when masses of 6 tonne were moved transverselythrough 13.5 m. The deflections of a 7.5 m pendulurnwere 81, 78, 85, 83, 79, 82, 84 and 80 mm respectively.Caiculate the metacentric height.arrow_forwardA ship of 10 000 tonne displacement has a waterplanearea of 1300 m2. The ship loads in water of 1.010 t/m3 andmoves into water of 1.026 t/m3. Find the change in meandraughtarrow_forward
- A ship of 7000 tonne displacement has a waterplane areaof 1500 m2. In passing from sea water into river water of1005 kg/m3 there is an increase in draught of 10 cm. Find the Idensity of the sea water.arrow_forwardA ship has 300 tonne of cargo in the hold, 24 m forward ofmidships. The displacement of the vessel is 6000 tonne and its centre of gravity is 1.2 m forward of midships.Find the new position of the centre of gravity if this cargo ismoved to an after hold, 40 m from midshipsarrow_forwardSketch and describe how ships are supported in dry dock. When and where does the greatest amount of stresses occur?arrow_forward
- Sketch and desribe a balanced rudder and how it is suspendedarrow_forwardA ship 140 m long and 18 m beam floats at a draught of9 m. The immersed cross-sectionai areas at equai intervais are 5,60, 116, 145, 152, 153, 153, 151, 142, 85 and 0 m2 respectively.Calculate:(a) displacement(b) block coefficient(c) midship section area coefficient(d) prismatic coefficient.arrow_forwardA steamer has waterplane area 1680m2 recorded in water with relative denisty 1.013. Displacement = 1200 t, calculate difference in draught in salwater reltive denisity 1.025.arrow_forward
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