Time series patterns that repeat themselves after a period of days or weeks are called Select one: O a. Random variation O b. Cycles O c. Trend O d. Seasonality
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- Energy of a Roller Coaster Car 500 450 400 350 --- 3 300 250 E 200 150 100 50 6 8 10 Time (s) Mechanical Energy ....... Potential Energy -- Kinetic Energy This graph shows different types of energy for a roller coaster car that starts at the top of a large hill and goes down to its lowest point at 6 s. According to the graph, what is the most likely relationship between height and potential energy? Your answer: They are directly related. They are inversely related. There is no relationship between the two. There is not enough information for a conclusion.62. •A 5-kg object is constrained to move along a straight line. Its initial speed is 12 m/s in one direction, and its final speed is 8 m/s in the opposite Complete the graph of force versus time with direction. F (N) (s) appropriate values for both variables (Figure 7-26). Several answers are correct, just be sure that your answer is internally consistent. Figure 7-26 Problem 62The variables do not vary with respect to time is called as а. Static characteristics O b. Dynamic characteristics O c. Random Error d. Systematic Error
- is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…b läi 4 Q5/A/ A runner in a 1000 m race accelerates uniformly for first 400m and then runs at constant velocity, the time he spent for 400 m is 1 min, The runner's * ?acceleration is 1000 m 0.44 m/s2 O 0.666 m/s2 O 0.555 m/s2 O 0.22 m/s2 O 0.33 m/s2 O 0.111 m/s2 O issiSimulink 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…
- Q8): 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).fet), force force, f 10 Newt. m2 f k, 10sec m, = 10 kg, ma= 20 kg , b= 20 Newton m/sec k, = 30 Newton kz = 60 Newton z, and z are measured with respeet to eguilibrium conditions and all imitial conditions are zero, 1) Write the Newton's second Lau for m, amd m2 2) Derive a statespace represrentation of the conditions : eystem fallowing 2a) only z, is measured 26) only z, is measured 2c) (2,-z,) is measured. un der 3) Derive the following transfor fumetione fG) z,(5) Go G,6) ? G6) ? 4) Describe a mechanical device that can be used to implement the external force fee) as shoun'a bove. 5) Using (Csim) function of MATLAB, plot z,(t), 2, (t)- =, (+)] Zz (t) andDo 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?
- is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². No Deflection m k Fg = mg Initial Condition m k Fg = mg Figure 3: System schematic for Problem 4. Yi 8 Your tasks: A Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. B Write down an expression for the total energy H as the sum of potential and kinetic energy in terms of y, y, yi and element parameters. Will H change as the mass moves? C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of position, y, the initial…We are using simple exponential smoothing to predictmonthly electric shaver sales at Hook’s Drug Store. At theend of October 2006, our forecast for December 2006 saleswas 40. In November 50 shavers were sold, and duringDecember 45 shavers were sold. Suppose a 0.50. At theend of December, 2006, what is our prediction for the totalnumber of shavers that will be sold during March and Aprilof 2007?The following diagram illustrates measurements that 145.0 L 0 d. Q Joom ма 8-42.00 で how equal to I'm in Thermal conductivity. materi di L M Heat Flow ? b. 3.24 kW N 0 d २ R I. thermal Resistance 17 a. 0.80 KW b. none OF c. 9.25 KIKW d. 1.08 e. K| kw 0.68 44.12 KW 37.5 KW M R 1.0m the above d mall a. decrease b. unchanged c. increase the walls side is exposed to temperatures of 5000 upper while its lower siche is exposed to unidirectional heat flow in Assume steady state, radiation and Convectim heat effects. 20°C. y direction Neglect none of IF antract reere tance heat N S 1.0m op the above a row of bricks, an taking thicknees Bricks k (kw/m-k) Flow? 0.50 0.25 0-50 0-80 0.4⁰ 0.50 0.25 0.50 • not neglighe, what happen to overall d. inereact then decrease e increase / decrease depending on value of Contact resistance