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- lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)Q2 Consider a conical receiver shown in Figure 2. The inlet and outlet liquid volumetric flow rates are Fl and F2, respectiveily. ccorresponding radius in r) Figure 2 Conicul tank Develop the model equation with necessary assumption(s) with respect to the liquid height h. ii. What type of mathematical model is this? 1 R %3D Hint: Model: = F, – Fz, where the volume V=r h=nh, since = substitute V and Fz expressions and get the final form. %3D %3D %3D dt H.4. For the fluid system in Fig 6 construct the linear graph, identify the state variables, and derive the state equations. The output variables are the pressure p₁ and på at the tanks. C₁ Aut I,R 0,01) - Figure 6: An fluid system R₂ V (t) ww Rs ERL L V (1) Figure 7: A tuning circuit for radio
- 1:19 P N{ l 100% I A docs.google.com A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and is set to oscillate on a friction-less horizontal surface. At time t = 0 its position is xO = 0 and its velocity is vo = +5 m/s. If the displacement is a cosine function, x(t)=A cos(wt+p), then which answer is correct about the oscillation amplitude A and the phase constant,p,: A = 0.25 m, and p = - T/2 A = 0.5 m, p = 0 A = 0.5 m, and p = r/2 A = 0.5 m, p = -T/2 A = 0.25 m, and p = t/2 Other: A body oscillates with simple harmonic frictionless motion along the x-axis. Its displacement varies ith time according to x(t)=0.5 cos(Tt). The ues of the velocity (in m/s) and acceleration (in m/s^2) of the 8 IIA::V Gmail > A docs.google.com EE Q 3: A tank filled with oil,lf the total weight is(2 KN) and weight of tank only is (200 N) and volume of the tank is (190 L) , Find : Mass density ,specific weight ,specific gravity ,specific volume for the oil. 0.947 KN/m3,9.6534 kg/m3 , 0.01035 m3/kg , 9.65 94.7 KN/m3 ,96.534 kg/m3 , 0.01035 m3/kg , 1.965 9.47 KN/m3 ,965.34 kg/m3 , 0.01035 m3/kg , 0.965 Page 2 of 2 Back Submit Never submit passwords through Google Forms. This form was created inside of Mustansiriyah University. Report Abuse Google FormsAir is compressed by a compressor in steady-state operation, i.e. the inlet mass flow rate q is constant in time. The compressor is airtight. The area of the inlet and outlet cross-section is A/N and AOUT, respectively. The outlet-to-inlet density ratio is POUT/PIN, the outlet-to-inlet mass flow rate ratio is 9m-OUT/9m-IN. What is the outlet-to-inlet volume flow rate ratio? qv-out/9V-IN = ? Select one: ○ a. 9v-OUT/9V-IN = 9m-OUT/9m-IN O b. 9v-OUT/9V-IN = PIN/POUT O c. qv-OUT/QV-IN = (AOUT/AIN)-(POUT/PIN) O d. qv-OUT/QV-IN-AOUT/AW
- 1 An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of times the weight of the object is pushing the object up (weight = mg). If we assume that water 40 resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 10 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 90 m/sec? Assume that the acceleration due to gravity is 9.81 m/ sec2. Find the equation of motion of the object. X(t) = %3DThe governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.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) Strain
- Simulink Assignment- Filling a Tank In fluid mechanics, the equation that models the fluid level in a tank is: dh 1 -(min Ap - mout) dt h is the water level of the tank A is the surface area of the bottom of the tank pis the density of the fluid Mim and mout are the mass flow rates of water in and out of the tank, the flow out is a function of the water level h: 1 mout Vpgh Ris the resistance at the exit. Assume that the exit is at the bottom of the tank. g is the gravitational acceleration What to Do: 1. Build a model in Simulink to calculate the water level, h, as a function of time. Your model should stop running as soon as the tank is full. 2. Assuming the height of the tank is 2 meters, after how many seconds does the tank fill up? Use the following constants to test your model: • A: area of the bottom of the tank = 1 m? • p: the density of fluid = 1000 kg/ m? • R: the resistance at the exit = 3 (kg.m)-1/2 • ho: Initial height of the fluid in the tank = 0 m • g: the gravitational…1 Overview In this project, you'll use several robot datasets for estimation and you will implement a Kalman Filter (KF) for state estimation. Consider the vehicle depicted in Fig. 1 with m = 0.5, k = 3.5, b = 2. The position s and velocity v represent the state x of the system and the input ƒ (t) is the force often denoted with u. F b m Figure 1: Robot cart 0 s(t) f(t) 1. Write the system in state space form and consider additive Gaussian white noise to the model n N (0, Q). Discretize the system state space form using Euler approach (30 points).23:38 Fri 22 Jul Q6. 4 of 6 Q6. Cont. library.qol.qub.ac.uk - Private Q7. An engineer is designing a pressure vessel, and selects an initial concept design consisting of a cylinder or length L, and radius r, both measured in metres, as shown in figure Q6. The volume of the vessel should be 1200 litres. The wall of the vessel will be a constant thickness throughout. The engineer wants to minimise the amount of material used in order to minimise the cost. 4% 1 [1 marks] Figure Q6 (a) Determine expressions for the surface area and the volume of the tank in L. Hence find an expression for surface area in terms of r only. Q6. Cont./ MEE1001/2021 rms of r and [4 marks] (b) Determine the combination of radius and length that will require the minimum amount of material to be used. You should use an appropriate method to verify that it is a minimum. [10 marks]