Determine the solution of the inviscid Burgers' equation for the double-shock pro- file given by u₁ = 1.0, u₂ = 0.5, and u3 = 0. Compute this solution using MacCormack scheme and the Godunov method. What is the analytic solution for this set of ini- tial conditions? Compare your numerical calculation with the analytical solution.
Q: A 4.8 m long from fixed point, 0.5 m wide and assumed a thickness of 30 mm throughout a springboard…
A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…
Q: A convergence-divergence nozzle is a nozzle attached to a diffuser where the connection is called…
A: To Find:The temperature of the air at the throat.The throat area of the nozzle.The temperature at…
Q: 10-27. Determine the moment of inertia of the "Z" section with respect to the x and y centroidal…
A: Determine the moment of inertia of the "Z" section with respect to the x and y centroidal axes.
Q: Consider the frame shown in (Figure 1). Suppose that w = 410 N/m. Figure T 1.5m W D E 2m C 3 m +…
A:
Q: A three particle system consists of masses m; and coordinates (X₁, X2, X3) as given: m₁ = 3m (a,0,…
A: Given :A three-particle system consists of masses and coordinates as given: To Find:The inertia…
Q: What is the cause of surface tension? Multiple Choice O Attractive forces between the atoms O…
A: Surface tension: it is a physical property of liquids.It is defined as the force per unit length…
Q: Use g=32.2 */sec2 (9.81 m/s2 ) and 60°F (16°C) water unless told to do otherwise. • Google…
A: To Find:The magnitude and direction of the resultant force on the water.Given:The diameter at A is…
Q: Calculate the velocity of a pressure wave in a 150 mm steel pipe carrying water. The pipe thickness…
A:
Q: Given the details of the offset slider crank mechanism, determine the accelerations of the pin…
A: The length of link 2 is The length of link 3 is The angle is The angular velocity of link 2 is The…
Q: A horizontal-axis wind turbine with rotor 80m in diameter is 35% efficient in 18m/s wind at 0.977…
A: The power available in the wind can be calculated using the formula:…
Q: The figure shows the cross section of a wall made of three layers. The thicknesses of the layers are…
A: Ans Given Now all the three layers are in series so, heat transfer rate will be same in all three…
Q: An open cylinder of air has a radius of 38.0 cm and a height of 50.0 cm, as shown in figure (a). BOK…
A: Given:The air pressure is 1 atm.The temperature is 13.5 C.The mass of the piston, mp = 25.0 kg.The…
Q: 13.8 - Howson et al.studied the creep and stress-rupture response of oxidedispersion-strengthened…
A:
Q: 7-54. The lever is attached to the shaft A using a key that has a width d and length of 25 mm. If…
A: Given data: Vertical force (Fy) = 200 N (downwards) (perpendicular to the…
Q: A 370-g sample of an unknown (nongaseous) material experiences a 24.0°C increase in temperature…
A: The Given data :To find :
Q: One side (the hot side facing the room) of the radiator plate is maintained at a temperature of…
A: To determine the heat transfer efficiency of the A, B,C, D by natural convectionand to determine the…
Q: Assume all the processes to be reversible and the heat losses from the pump and the turbine to be…
A:
Q: Air pressure p and temperature Tat the inlet of reciprocating compressor are 1 bar and 15 °C. The…
A: According to our guidelines, we are supposed to answer 1st three sub parts of the question. Please…
Q: Inside the wall of a house, an L-shaped section of hot-water pipe consists of three parts: a…
A: Given:The height of the elbow is the length of the straight vertical piece is The initial…
Q: If the wind velocity is: 1 m/s, 2m/s, 3m/s, 5m/s 7m/s then the maxim turbine will be:
A:
Q: Two uniform cylinders, each of weight W=14 lb and radius r = 5 in, are connected by a belt as shown.…
A: The mass of the cylinders is W = 14 lb.The radius of the cylinder is r = 5 in.The angular velocity…
Q: ir at a 800 kPa and 1300 K enters a turbine which has an isentropic efficiency of 90% with a mass…
A: The inlet pressure at turbine is .The inlet temperature is .The efficiency of turbine is .The exit…
Q: 4 HO PROBLEM: Based on the Orthographic Projections of the TERMINAL BLOCK draw a full section.
A:
Q: Consider the flow of a fluid with viscosity through a circular pipe. The velocity profile in the…
A: The velocity profile of the given flow is-The wall shear stress is written as-
Q: 7-27. The bar has a cross-sectional area A and is subjected to the axial load P. Determine the…
A:
Q: A four-cylinder vertical engine has cranks 150mm long. The plane of rotation of the first, second…
A: The radius of the crank, r=150 mmMasses of cranks,For complete balancing, all the forces and all the…
Q: 3. A beam ABCDE is 16 m long and is simply supported at A and D 14m apart. At B, 4 m from A, there…
A: A beam ABCDE is 16 m long and is simply supported at A and D 14m apart.At B, 4 m from A, there is a…
Q: A rope is attached to a box. The box is placed on an inclined plane. The box has a mass of 70 kg.…
A:
Q: The mass center of the 7-1b ball has a velocity of (a)=6 ft/s when it strikes the end of the smooth…
A: To Find : The angular velocity of the bar about z axis Given : The lenght of slenderis The velocity…
Q: You are watching a new bridge being built near your house. You notice during the construction that…
A: Li = 270 m
Q: 4. A quantity of water is admitted from a water main into an evacuated 60 L adiabatic vessel (see…
A: Given:The capacity of the water vessel is .The pressure of the water is .The temperature of the…
Q: A flywheel with a mass of 28 kg and a radius of gyration of 210 mm is driven by an electric motor…
A: To determine the torque required to engage the clutch and to determine the time required to attain…
Q: The moment of inertia for an extended body is I = r² dm. Prove that for a circular disc of mass M…
A:
Q: Given the multiview projection of the solid, draw the isometric view.
A: Given:To find:Draw the isometric view.
Q: A capillary tube is immersed vertically in a water container. Knowing that water starts to evaporate…
A: A capillary tube is immersed vertically in a water container.Knowing that water starts to evaporate…
Q: Use g=32.2 */sec2 (9.81 m/s2 ) and 60°F (16°C) water unless told to do otherwise. • Google…
A: Given The Bernoulli's equation:Since all losses are insignificant, so we can neglect the kinetic…
Q: solve frist one please
A: The diametral pitch of each gear:center distance of the gears:Velocity ratio:
Q: Use the Lax method to solve the inviscid Burgers' equation using a mesh with 51 points in the x…
A:
Q: Determine the force in members EH and FH of the truss shown when P = 17 kN. 5 m 3 m✦3 m3 m✦3 m▷| P P…
A: a
Q: List 3 goals for design optimization, relate each goal to its restrictions, and an example…
A: The objective of this question is to identify three goals for design optimization in the field of…
Q: A cylindrical tank 5 * high has a constant diameter of 4' is full of water. The tank has a hole in…
A: Consider the water level in the tank at instant t as h as shown. That means it takes time Here H is…
Q: A Ox 30% B Txy бу
A: Given Data:The value of The inclination of plane AB with the y-plane is The inclination of the AB…
Q: 1. A 4-inch shaft using a flat key whose width is 1 inch transmits a torque of 20,000 in-lb, what is…
A: The diameter of the shaft, (d)=4 inThe width of the key, (b)=1 inThe torque transmitted, (T)=20000…
Q: Suppose that σx = 42 MPa A) Determine the normal stress σx′ that acts on the element with…
A: Given:The stress in the x plane is the shear stress in the x-y plane is the angle is
Q: A vapor-compression refrigeration cycle using HFC-134a as the refrigerant has the pressure- enthalpy…
A: The evaporator temperature of the cycle, ()=0oCThe condenser temperature of the cycle,…
Q: AP10.4 A DC motor control system with unity feedback has the form shown in Figure AP10.4. Select K₁…
A:
Q: Determine the displacement at x = 7 m and the slope at A. El is constant. 4 m 3 kN/m 3 m 50 kN 3 m…
A: The flexural rigidity is constant.
Q: Calculate the Material Removal Rate of a round bar with diameter 26 mm, is being reduced in diameter…
A: The initial diameter of the round bar, (D1)=26 mm.The final diameter of the round bar, (D2)=22…
Q: 7-9. Determine the resultant internal loading on the cross section through point D of the pliers. 20…
A: Resolving Forces at D:
Q: The figure below shows a liquid-level system in which two tanks have cross-sectional areas, A₁ and…
A: To Find:The differential equation model for the system behavior in terms of the liquid heights and…
Step by step
Solved in 3 steps with 3 images
- 3. Using the trial function u¹(x) = a sin(x) and weighting function w¹(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx -2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx-2 = 0 u(0) = 1 u(1) = 0Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?3. Answer the question completely and write down the given, required and formula that had been used. Provide graph and accurate/comple solution. The value are: V- 1 X- 5 W- 7 Y- 6 Z- 8
- FOLLOW THESE STEPS FOR UPVOTE Given Required Diagram Solution Conclusion Do not round off while solving. Question: Consider the figure below. Each tank has a volume of 10 ft³. Conditions on each tank are tabulated as follow: Tank No. 1 2 3 TANK 1 Content Methane Propane Hexane Pressure 70 psia 21 psia 43 psia TANK 1 Temperature 160°F 124°F 110°F TANK 1 k 1.32 1.24 1.39 All separation valves have been opened at the same time. Determine the resulting temperature in °F at equilibrium.(3) For the given boundary value problem, the exact solution is given as = 3x - 7y. (a) Based on the exact solution, find the values on all sides, (b) discretize the domain into 16 elements and 15 evenly spaced nodes. Run poisson.m and check if the finite element approximation and exact solution matches, (c) plot the D values from step (b) using topo.m. y Side 3 Side 1 8.0 (4) The temperature distribution in a flat slab needs to be studied under the conditions shown i the table. The ? in table indicates insulated boundary and Q is the distributed heat source. I all cases assume the upper and lower boundaries are insulated. Assume that the units of length energy, and temperature for the values shown are consistent with a unit value for the coefficier of thermal conductivity. Boundary Temperatures 6 Case A C D. D. 00 LEGION Side 4 z episGIVE ME THE COMPLETE SOLUTION FOR THISTHIS IS THE ANSWER AS PER THE ANSWER KEY JUST HELP ME WITH THE SOLUTION PLSX3/F = (16s^4 + 32s^3 + 56s^2 + 48s + 36)/(64s^6 + 192s^5 + 464s^4 + 568s^3 + 568s^2 + 312s + 72)
- Help me solve this using MATLAB1. A spring mass system serving as a shock absorber under a car's suspension, supports the M=1000kgmass of the car. For this shock absorber,k=1000N/m and c=2000N s/m. The car drives over a corrugated road with force F=2000sin(wt)N. Use your notes to model the second order differential equation suited to thisapplication. Simplify the equation with the coefficient of x'' as one. Solve x (the general solution) interms of using the complimentary and particular solution method. In determining the coefficients ofyour particular solution, it will be required that you assume w2 -1=w or . Do not 1-w2=-wuse Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w.You must indicate in your solution:1. The simplified differential equation in terms of the displacement x you will be solving2. The m equation and complimentary solution3. The choice for the particular solution and the actual particular solution xp4. Express the solution x as a piecewise…3. Using the trial function uh(x) = a sin(x) and weighting function wh(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx - 2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx - 2 = 0 u(0) = 1 u(1) = 0
- please solve it in clear note: The fifth section solved it by using MATLAB i need all qusestion solved 1-9 For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 time F(t) time 12 14 44 19 33 34 12 22 0.60 25 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.85 Force 32 11 18 30 49 40 35 21 time 0.90 0.95 F(t) 11 m +x F(1) 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system. 4- Use the generated plot in part 3 to verify the value of the damping constant, c. 5- Find the steady state solution (only particular solution) for the forced vibration system. Take number of terms in your Fourier series terms from this range [ 30 – 55). 6- Plot the force in the table, and the…Use the Lax method to solve the inviscid Burgers' equation using a mesh with 51 points in the x direction. Solve this equation for a right propagating discontinu- ity with initial data u = 1 on the first 11 mesh points and u = 0 at all other points. Repeat your calculations for Courant numbers of 1.0, 0.6, and 0.3 and compare your numerical solutions with the analytical solution at the same time.please answer soon and show up 4 iteration in calcuation q2b