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- Thermodynamics is extensively used in engineering field. The following polynomial can be used to relate the zero-pressure specific heat of dry air c, kl/(kg K) to temperature (K) c, = 0.99403 + 1.671 x 104T +9.7215 x 10-872-9.5838 x 10-"T³ + 1.9520 x 10-4T Which of the following(s) is/are the correct method to determine the temperature that corresponds to a specific heat of 1.1 kl/(kg K). (Choose all that applyl) O A) Gauss-Seidel Method O B) Lagrange Interpolation O C) Newton-Divided Difference O 0) Bisection Method Newton MethodQ8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct T method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).4. Given the following data : T(k') 600 700 800 900 (Cp/R) 3.671 3.755 3.838 3.917 Where "T" is the absolute temperature and (C,/R) is the dimensionless specific heat of air. Use Newton's forward interpolation method to find the specific heat at T = 670 k°. %3D
- Do 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?The following data represents the relation between the heat capacity of a plate (q) and time (t). If the relation between the leachate and time is given by the form q-ab^t. : Determine q = ab² 1 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 1.0 2.0 8.00 7.15 5.25 3.65 2.50 2.35 2.25 1.50 1.25 1.00 9 the the heat capacity at (1 time equal to 15 0.28 O 0.29 O 0.30 OThe orthographic views of an object are shown below. a) Draw its isometric drawing using a pencil. Provide all important dimensions on your isometric drawing. b) You need to take pictures of all main steps and need to provide a step-by-step method to draw isometric drawing accompanied by pictures. 307303030 | 20 60 15 15 55 30 20 60 + 27.5 4 25 47.5 25 R20 20 T 15 60 016 120 R30 120 120 30
- Q1: The number of bacterial cells (P) in a given reactor is related to time in days (t) as described by the following mathematical model: dp dt 0.0000007 P², If at initial time (P = 106). Determine the number of cells when (t 2days) using the fourth order Runge-Kutta method and at time increment of (1 day). = = 0.3 P 1An S178 x 30 steel beam (see Appendix A) is loaded and supported as shown below. Using the coordinate axes shown: tions for the shear force I (c) Determine the maximum flexural stress on a section at x = 3 m. Y and bending moment M for any section of val 4 m < x < 6 m (i.e., between B and C). A X 2 m 15 kN/m 25 kN B -2 m2 m― с IParts for each product Homework 1 n produce dryer plant Can for each product castiens Then each product is assembled in its dedicated washing and dryer A machines. Difterent are manufactured by press and motor ly sechon. The the monthly capacity of different sections are: washing machine or looo dryer machine Press section: 100 - Motor section: 1600 washing machine or 7o00 drjer machine machine assembly line: goo0 machine washing druer machine assembly line: 5000 machine washing 1, profit for each unct of washing and dryer machines is 270 and 300 respectively. Formulate a linear programming problem for Find ing how many washing and dryer machines should be produced many washing to maximize total plant's profit. 2.A A Post Company need to transfer 30000 boxes with two each truck presented of olifferent trucks. Chavactenistics problem for The table below. Formulate a linear programming each truck to optimum nunber of minimIze total Cost.
- The stress profile shown below is applied to six different biological materials: Log Time (s] The mechanical behavior of each of the materials can be modeled as a Voigt body. In response to o,= 20 Pa applied to each of the six materials, the following responses are obtained: 2 of Maferial 6 Material 5 0.12 0.10 Material 4 0.08 Material 3 0.06 0.04 Material 2 0.02 Material 1 (a) Which of the materials has the highest Young's Modulus (E)? Why? Log Time (s) (b) Using strain value of 0.06, estimate the coefficient of viscosity (n) for Material 6. Stress (kPa) StrainC) The velocity of a falling parachutist is given by v= "1-eteimx], where g 9.8 m/s. -etelm)t For a parachutist with a drag coefficient C=14.75 kg/s, compute the mass (m) so that the velocity is v = 40 m/s att 10 s by two iterations of the False-Position Method, with initial guesses [65 - 80]. 1. m 68.1 2. m 75.7 3. m 77.3 4. m 69.25An experimental data set fits the equation: y- yo : = 1 - e 1-e Yoo - Yo shown in the table and also shown graphically. Using this data, determine the time constant, t. Show your work and justify your answer. 125 0.00 25.00 0.50 47.12 105 2.00 88.21 85 4.00 111.47 5.25 117.76 65 7.00 121.98 8.00 123.17 45 9.50 124.13 25 6 10.00 124.33 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00 15.00 124.94