Part B How long does it take block A to reach the transition point? Express your answer numerically in seconds to four significant figures. View Available Hint(s) Submit ΑΣΦΑΛ vec a P
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- 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…Help with the MATLAB code to do the following: Given an audio recording of vehicles, compute Power Spectral Density, 1/3 octave band level, octave band level, A-weighted Leq, C-weighted Leq, L10 (unweighted since sample is short), L90 (unweighted since sample is short). If the measurement is made at approximately 50 ft, and that the vehicles are moving at an average of 65 mph, what is the flow rate Q? If instead, the noise is dominated by 1-2 motorcycles, how fast are they going? Given- -The data are in counts -Calibration factor is 133 uPa/count -Sample rate is 44100Hz. -Remember that in air the dB reference is 20 uPa -Pwelch requires that the inputs are doublesA snowboarder’s velocity is tracked by a pulse-laser velocimeter as she descends the slope. These velocity data are stored and analyzed via an embedded curve fitting procedure to determine a velocity function of v(t) = 1.5t2 + 2t + 2 (t is time in seconds and v is velocity in ft/s). At time equal 0, position (x) is zero. Find her position (e.g., distance traveled), velocity and acceleration formulations and values of each when time equals 15 seconds. Clearly write the formulas before finding respective values at t = 15 seconds!
- For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), c(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 20 0.01 y k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x = 0)x exp{- ax} d. C, (x) = C, (x = 0)x exp{-ax}x exp{- by² }x exp{-cz²}x exp{- kt}PIoVide ue comect u We want to design an experiment to measure oscillations of a simple pendulum on the surface of Jupiter with acceleration due to gravity g= 30 ms 2. We have to make do with a rudimentary video camera with a frame rate of 15 Hz to record oscillations in a pendulum and use it to measure the frequency of oscillation. The smallest length of the pendulum that we can send so that the correct oscillation frequency can be measured is cm. Assume perfect spatial resolution of the camera and ignore other "minor" logistical difficulties with this experiment.6. A ball is thrown straight up in the air at time t = 0. Its height y(t) is given by y(t) = vot - 791² (1) Calculate: (a) The time at which the ball hits the ground. First, make an estimate using a scaling analysis (the inputs are g and vo and the output is the time of landing. Think about their units and how you might construct the output using the inputs, just by matching units). Solve the problem exactly. Verify that the scaling analysis gives you (almost) the correct answer. (b) The times at which the ball reaches the height v/(4g). Use the quadratic formula. (c) The times at which the ball reaches the height v/(2g). You should find that both solutions are identical. What does this indicate physically? (d) The times at which the ball reaches the height v/g. What is the physical interpretation of your solutions? (e) Does your scaling analysis provide any insight into the answers for questions (a-e)? Discuss. (Hint: Observe how your answers depend on g and vo).
- T'sec In helical spring experiment a student plotted the graph of T2 versus the oscillating mass (M), and Used the slope to find the spring :constant, the value of k is 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 O. O a. 13.3 N/m O b. 6.8N/m O c. 5 N/m O d. 3.3 N/m O e. 24 N/m 5 10 15 20 25 30 35 40 45 50 55 60 65 M (9) 70 75 80Harmonic oscillators. One of the simplest yet most important second-order, linear, constant- coefficient differential equations is the equation for a harmonic oscilator. This equation models the motion of a mass attached to a spring. The spring is attached to a vertical wall and the mass is allowed to slide along a horizontal track. We let z denote the displacement of the mass from its natural resting place (with x > 0 if the spring is stretched and x 0 is the damping constant, and k> 0 is the spring constant. Newton's law states that the force acting on the oscillator is equal to mass times acceleration. Therefore the differential equation for the damped harmonic oscillator is mx" + bx' + kr = 0. (1) k Lui Assume the mass m = 1. (a) Transform Equation (1) into a system of first-order equations. (b) For which values of k, b does this system have complex eigenvalues? Repeated eigenvalues? Real and distinct eigenvalues? (c) Find the general solution of this system in each case. (d)…An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =
- Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael SwanbomAnasayfam Ders Kataloğu ME2005 54954 ME 2005 Dynamics- Midterm Exam 05.12.2020 @18:00 KTÜ Department of Mechanical Engineering Fall 2020 ME 2005 Dynamics Midterm Exam 01 Genel Önceki Etkinlik 7. Lecture 1 (08.10 2020) 2. Lecture 2 (15,10.2020) Lecture 3 (22.10.2020) Soru 10 If the motion of one particle is dependent on that of another particle, each coordinate axis system for the particles 3. Lecture 4 (05.11.2020) Cevap kaydedildi Lütfen birini seçin: 4. 3,00 üzerinden a. should have the same origin. Make-up Lecture- Lectu işaretlenmiş b. None 6 Lecture 6 (12.11.2020) P Soruyu işaretle c. can be directed anywhere, 7. Lecture 7 (19.11.2020) d. should be directed along the path of motion. Lecture 8 (25.11 2020) O e. should be directed perpendicular to the path of motion. 9. Lecture 9 (26.11.2020) 10 Lecture 10 (27.11.2020) Önceki sayfa 11 ME 2005 Dynamics-M Sonraki sayfa O KTU Department ofContext The needle of a sewing machine makes a repetitive up and down motion which is described by the equation y(t)=Acos(wt) To choose the settings of the device that will ensure that the needle successfully pierces the textile, you are asked to model the speed in ? of the needle as a function of time. Constraints and information The parameter A represents the range of motion (in m);The parameter w represents the angular frequency. It tells us about the number of back and forth movements that the needle makes per second;The parameter w is given in rad/s, so your calculator absolutely must be in radians mode to do the calculations in this problem;Modelization Establish the model for the y velocity of the needle as a function of time and the parameters A and w. Then test your model by calculating the speed in y of the needle at the moment and with the given parameters: Moment: 4.1 s Amplitude: 0.012 m Angular frequency: 17.9 rad/s