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- 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).QUESTION 3 A 7.62 mm caliber bullet travel in two different medium of gas of helium and nitrogen at constant speed of 1,548 miles per hour. The properties of the gas are given in Table 1. Cp (kJ/kg.K) Cv (kJ/kg.K) Temperature (K) Pressure (kPa) Table 1 Helium 5.192 3.115 300 unknown Nitrogen 1.039 0.746 300 unknown a) Calculate the speed of sound in both medium (helium and nitrogen). b) Determine the March number of the bullet for both medium. c) Do you think that the shockwave occurs in this bullet travel for both medium of gas? Sketch your ideas of this bullet travel and the shock wave (if available).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.
- 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…The traffic volume data table below counts was taken on rural a highway during the morning peak hour at (8:00-9:00 am) on Monday of a week. Time periods (minute) 8:00-8:15 AM 8:30-9:00 AM Number of vehicles 385 790 The average time headway (sec) during 8:00-9:00 am 2.25 a) Find the traffic volume for the period from 8:15 to 8:30 am. b) Determine the hourly volume (HV), the maximum rate of flow within the hour, and the peak hour factor (PHF). c) Estimate the density and speed of traffic if an average spacing of 150 ft. d) Estimate the daily volume for Monday if the hourly expansion factor (HEF) is 22.05.Q1. The image below shows an example of "absolute dependent motion analysis", where the motions of two objects depend on each other, and the goal is to find the relations in their motions (i.e., in their positions, velocities, and accelerations). Please put the suggested steps of analysis in the correct order. VA A B VB Differentiate the entire equation with respect to time, and extract the relation in velocities. Repeat for acceleration if needed. Set up a coordinate (s) along the direction of motion from a fixed point (O) or a fixed datum line. Represent the positions of the objects respectively. In some cases intermediate objects need to be considered too and their positions need to be represented as well. Recognize the constant length(s) and find the depending geometric relations between the position variables.
- As we explained in earlier chapters, the air resistance to the motion of a vehicle is something important that engineers investigate. The drag force acting on a car is determined experimentally by placing the car in a wind tunnel. The air speed inside the tunnel is changed, and the drag force acting on the car is measured. For a given car, the experimental data generally is represented by a single coefficient that is called drag coefficient. It is defined by the following relationship: F, where air resistance for a car that has a listed C, = drag coefficient (unitless) measured drag force (N) drag coefficient of 0.4 and width of 190 cm and height of 145 cm. Vary the air speed in the range of 15 m/s1) From 0 to 10 sec, find alphaA1, alphaC1 in rad/s^2, omegaA1(t), omegaC1(t) in rad/s, thetaA1(t), thetaB1(t) and thetaC1(t) in rad, and the distance made by the load s1 in inches and in feet made by the load during this time.ols Mathematical Mod. x n / 31 • Exercise: Obtain the equivalent stiffness for the following spring networks. kl i) ► xl x2 www twww k3 k2 kl ww. x2 k3 wwwww k2 i) F ype here to search@AB = 4 rad/s %AB = 6 rad/s² 0.5 m 45° B/C 1 m 60° IC Now let's look closer at Figure 2 from the prior question. By drawing lines that pass through points B and C which are perpendicular to their velocities (the red lines in the figure above) we can locate the IC at the intersection (the star). Now we can use some basic trig to figure out the distance TB/Ic labeled in the figure, which is the radial distance from the IC to point B. I've drawn in a green dashed line that creates two right triangles to help with the trig. What is the distance TB/IC? Give your answer in m but don't type the unit.The friction force F on a smooth sphere falling in water depends on the sphere speed V, the sphere density ρ_s and diameter D_s, the density ρ and dynamic viscosity μ of the water, gravitational acceleration g. Choose the correct repeating variables. sphere diameter, dynamic viscosity, gravitational acceleration density, gravitational acceleration, dynamic viscosity friction force, gravitational acceleration, density density, sphere speed, sphere diameter friction force, sphere speed, sphere diameterv(m/s) 1.00 6) Draw a velocity-time graph that shows the motion of a ball that roll up then down a ramp with an initial velocity of +1.0 m/s and an acceleration of -0.20 m/s². 15 1.0 t(s)SEE MORE QUESTIONS