for loop practice – Taylor Series!The moment you finish implementing the trigonometric functions, you realize that you have forgotten your favorite function: the exponential! The Taylor Series for the exponential function is 푒푥=1+푥1!+푥22!+푥33!+...,‒∞<푥<∞a) Using a for loop, compute and display the error of the Taylor series when using 12 and 15 terms, each as compared to the exponential function when evaluated at x = 2. b) Can you figure out how to compute and display the number of terms necessary for this function to have an error within your allowed range of 0.001 when evaluated at x = 3. Display this error. For MATLAB
In: Mechanical Engineering
A 9-cm-diameter vertical water jet is injected upward by a nozzle at a speed of 15 m/s. Determine the maximum weight of a flat plate that can be supported by this water jet at a height of 2 m from the nozzle. Take the density of water to be 1000 kg/m3. The maximum weight of a flat plate that can be supported by the water jet is ____ N
In: Mechanical Engineering
(a) Briefly describe the usefulness of the knowledge of Mechanical Vibration in the industries by discussing at least two examples with regards to effects of machinery vibrations and reduction/control.
(b) Briefly explain the following terms: i. Modal analysis ii. Modal parameters
(c) Briefly explain resonance.
(d) Briefly explain how measurement and monitoring of machine vibration can be used for preventive maintenance.
in short pls
In: Mechanical Engineering
What is the minimum distance between two trains? like
regulations on Federal railroad association..
For example if 1 train left the station, when can the next train
depart? like is there regulation for the distance?
If you find it.. can u cite it too?
In: Mechanical Engineering
Determine which of the following polymers are the result of polymerization, and which are the result of post-polymerization processing. Explain!
1. low density polyethylene
2. high density polyethylene
3. phenol-formaldehyde
4. heavily cross-linked polyisoprene (glass trans. temp: 50C)
5. lightly cross-linked polyisoprene (glass trans. temp: -60C)
In: Mechanical Engineering
when it is 2 pm. Mountain standard time on februvary 3 in north platte (longitude=101,latitude=41) what is solar time
In: Mechanical Engineering
An air-standard dual cycle has a compression ratio of 8.6 and displacement of Vd = 2.2 L. At the beginning of compression, p1 = 95 kPa, and T1 = 290 K. The heat addition is 4.5 kJ, with one quarter added at constant volume and the rest added at constant pressure. Determine: a) each of the unknown temperatures at the various states, in K. b) the net work of the cycle, in kJ. c) the power developed at 3000 cycles per minute, in kW. d) the thermal efficiency. e) the mean effective pressure, in kPa.
In: Mechanical Engineering
The displacement volume of an internal combustion engine is 2.22 liters. The processes within each cylinder of the engine are modeled as an air-standard Diesel cycle with a cutoff ratio of 2.5. The state of the air at the beginning of compression is fixed by p1 = 1.6 bar, T1 = 325 K and V1 = 2.36 liters. If the cycle is executed 2100 times per min, determine: a) the compression ratio, b) the net work per cycle, in kJ, c) the maximum temperature, in K, d) the power developed by the engine, in kW, e) and the thermal efficiency.
In: Mechanical Engineering
Derive the reduced stiffness matrix Qxy relating stress_xy to strain_xy
Derive the reduced compliance matrix relating strain_xy to stress_xy
Determine the Ex, Ey, nu_xy, Gxy, in the reference frame (x and y) as a function of angle 0 and 45 degrees for a unidirectional lamina having the properties
What are your observations of the values increasing or decreasing with respect to the 0 degree lamina when the lamina is rotated to 45 degrees.
E1=181 GPa; E2=10.3 GPa; u12=0.28; G12=7.17 GPa
please explain in detail. thanks!
In: Mechanical Engineering
This is a Matlab Exercise problem. Please create the Matlab code and figure for the following problem using problem specifications:
Plot x vs y when y=sin(x), y=cos(x), y=sin (2*x), and y=2*sin(x) when x = 1:0.1:10. Use 2 by 2 subplot, sin(x) is in location 1, cos(x) is in location 2, sin(2*x) is in location 3 and 2*sin(x) is in location 4.
The plot should have:
(1) x label = ‘x value’, y label = ‘y value’, legend ‘y=sin(x)’,’ y=cos(x)’,’ y=sin (2*x)’, ‘y= y=2*sin(x)’ and title = ‘x Vs. y’ under Font Name of Times New Roman, and Font Size of 14 pt. for all subplot location.
(2) For sine(x) use red solid line, for cos(x) use blue dashed line, for sin(2*x) use green dash-dot line, and for 2*sin(x) use solid line and RGB [0.5 0.2 0.2]
(3) Create minor grid for all subplot location.
Please attach editor code and the figure in your answer. Thank You!
In: Mechanical Engineering
At steady-state, fuel oil is supplied at 0.01 gal/min to an oil furnace for home heating. (Note: 1 gal = 3.785*10^-3 m^3). The fuel oil density is 870 kg/m^3. Combustion air at 65°F and 1 atm enters the furnace with a volumetric flow rate of 15.2 ft^3/min. Determine the mass flow rate of combustion product gases flowing up the chimney flue. Also, determine the average velocity of the flue gas if the gas temperature is 225°F and the flue diameter is 9 in. Assume that the flue gases behave as an ideal gas with an apparent molecular weight of 29 kg/kmol. Also, assume that the pressure in the flue is essentially 1 atm (absolute).
In: Mechanical Engineering
A piston-cylinder device initially contains 75 g of saturated
water vapor at 310 kPa . A resistance heater is operated within the
cylinder with a current of 0.4 A from a 200 Vsource until the
volume doubles. At the same time a heat loss of 2 kJ occurs.
a.Determine the final temperature
(T2).
b. Determine the duration of the process.
c. What-if scenario: What is the final temperature if the
piston-cylinder device initially contains saturated liquid
water?
In: Mechanical Engineering
Tin (atomic radius, r = 1.405 A)and nickel (r = 1.243 A) both dissolve in copper (r = 1.278 A) by substitution in the copper lattice. Which of these elements added to copper will produce a metal with a higher strength and why?
In: Mechanical Engineering
You work for a company that produces gas grills. A new design for a propane grill uses preheated air to improve its performance. The grill flame operates with an equivalence ratio of 0.9 and the air and fuel are heated to 450K prior to the burner. A ceramic plate is above the burner for radiating heat to the food on the grill. You are told that the plate is capable of withstanding 2200 K. Assuming that the flame directly impinges on the plate, are you comfortable with this design? Show calculations to back up your reasoning. (assume complete combustion and product specific heats evaluated at 1500 K)
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What kind of defects could occur in:
a. Extrusion
b. Rolling
In: Mechanical Engineering