By using MARKOV PROCESS draw the Markov diagram for the below system Supply A L1 Line A (failures per year) 0.20 0.10 0.15 A B C U L2 MTTR (hours) 6.0 5.0 8.0 L3
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- In a linear finite element model related to bar problem in static equilibrium, as per the finite element model’s sign convention, which one of the following statements is true? Select one: a. If ue1 is negative then node 1 is moving to the right b. If ue1 is positive then node 1 is moving to the left c. If ue2 is negative then node 2 is moving to the left d. If ue2 is positive then node 2 is moving to the leftA system has a characteristic equation s^3+2s^2+(k+1)s+8=0 Determine the range of K for a stable system Question 5 options: K<3 K<4 K>4 K>3For the Western Electric rule that if at least 2 of 3 consecutive points fall beyond 2σ to one side of the center line the process is out of control:a. FindtheType1errorrate.b. Find the Type 2 error rate if the process shifts from u to u + 2σ.
- An unmanned submarine is equipped with temperature and depth measuring instruments and has radio equipment that can transmit the output readings of these instruments back to the surface. The submarine is initially floating on the surface of the sea with the instrument output readings in steady state. The depth measuring instrument is approximately zero order and the temperature transducer first order with a time constant of 50 seconds. The water temperature on the sea surface, , is 20 °C and the temperature at a depth of x meters is given by the relation: If the submarine starts diving at time zero, and thereafter goes down at a velocity of 0.5 meters / second, draw a table showing the temperature and depth measurements reported at intervals of 100 seconds over the first 500 seconds of travel. Show also in the table the error in each temperature reading.What temperature does the submarine report at a depth of 1000 meters?The same engineer decides to look into rates of cooling for liquids toexperiment with different cooling solutions for servers. She finds thatthe rate of cooling for one liquid can be modelled by the equation:y = 48 × 0.99t(0 ≤ t ≤ 80)where y is the temperature of the liquid in degrees Celsius and t is thetime in minutes.(i) State whether the type of reduction for this model is linear orexponential. Describe how reduction rate differs between linear andexponential functions. (ii) Calculate the temperature when t = 20. [3](iii) Write down the scale factor and use this to find the percentagedecrease in the temperature per minute. (iv) Use the method shown in Subsection 5.2 of Unit 13 to find the timeat which the temperature is 30◦(v) Determine the halving time of the temperature.A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used is SS316. The length of the sheath is 10mm and thickness is 0.2mm. Find the time constant of the sheath. Material Q(kg/m3) s(J/Kg - oc) K(W/m-k) Platinum 21450 130 71.6 SS304 8030 500 21.4 SS316 7990 500 21.4 SS410 7750 460 24.9 Air 1.20 1005 0.025 MgO Powder 3580 877 26.8 Silicon compound 3210 800 3 Time constant of the bare material is, T= Answer
- A cup of coffee with cooling constant k = 0.09 min- 1 is placed in aroom at temperature 20°C.(a) How fast is the coffee cooling (in degrees per minute) when its temperature is T = 80° C?(b) Use the Linear Approximation to estimate the change in temperatureover the next 6 s when T = 80°C.( c) If the coffee is served at 90°C, how long will it take to reach an optimaldrinking temperature of 65°C?if a 136.51g Al rod (c=0.900 j/g°C) is at 100.0°C and placed into 250.0g of water at 21.8°C, what is the temperature of the system (rod + water) at equilibrum assuming no losses to the surrounding? a) 46°Cb) 30°Cc) 206°Cd) 18°CExercise 3: Damped forced vibration. Find the solution ofu′′ +(1/8)u′ + u = 3 cos(ωt), u(0) = 2, u′(0) = 0 using sympy.dsolve for ω = 0.3 and ω = 1. Plot the solution, transient solution and steady-statesolution in a common plot for 0 < t < 10 for ω = 0.3 and ω = 1 respectively. Exercise 4: Undamped forced vibration. Plot the solution ofu′′ + u = 3 cos(ωt), u(0) = 0, u′(0) = 0 for 0 < t < 10 for ω = 0.3 and ω = 1 respectively. (You may find the solution either numerically with scipy.integrate.solve ivp, scipy.integrate.odeint or by finding and plotting the symbolic solution via sympy.dsolve)Remark: The vibration consists of beats; in the critical case ω = 1 solutions do not stay bounded
- In a linear spring finite element model, as per the finite element model’s sign convention, which one of the following statements is true? Select one: a. If Fe1 is negative then the spring is under compression b. If Fe2 is negative then the spring is under tension c. If Fe1 is positive then the spring is under tension d. If Fe2 is positive then the spring is under tensionThe reaction 2I- (aq) + S2O82- (aq) → I2 (aq) + 2SO42- (aq) was studied at 25°C. The following results were obtained where Rate = - (Δ[S2O82-])/(Δt) [I-]0(mol/L) [S2O82-]0(mol/L) Initial Rate (mol/L ·s) 0.080 0.040 12.5 x 10-6 0.040 0.040 6.25 x 10-6 0.080 0.020 6.25 x 10-6 0.032 0.040 5.00 x 10-6 0.060 0.030 7.00 x 10-6 a. Determine the rate law. b. Calculate a value for the rate constant for each experiment and an average value for the rate constantNeed help with engineering problem. Match the RTT term with its explanation: A: ddt(∫CVβρdᏉ) B: ∫CSβρVcosθdAout C: ∫CSβρVcosθdAin A. B. C. Match one of the following answers below to each letter. A change within the control volume Outflow of B from the ontrol volume Inflow of B to the control volume