Movement of damped oscillations during earthquakes

Assignment Help Other Engineering
Reference no: EM131076598

1) Structural engineers may have to study the movement of damped oscillations during earthquakes. One equation that gives the horizontal displacement of an object as a function of time is:

X = Xoe
-βt[cos(wt) + (β/ω)sin(ωt)]

The parameters β and ω depend on the mass of the oscillating object and the dynamic characteristics of the system. Other variables are defined as follows:
Xo = 8 inches,
β = 0.1 sec-1

ω = 0.1 sec-1
Using Excel, start a new worksheet titled Oscillation.
A) Prepare a table of t versus X over the interval of 0 ≤ t ≤ 30 seconds using 1 second intervals.

B) Using absolute references, solve the equation above for the range in A.

C) At approximately what time does the displacement (x-value) approximately equal zero? (or in other words, estimate the value of t corresponding to x = 0). Highlight using a bright yellow color, the two times (t) that bracket a displacement of x =0.

Your worksheet should look like the following and the boxed region should be filled with the equation.
Remember to highlight the time where the displacement changes from positive to negative using a bright yellow
background color.

2) Create another worksheet title "Trig functions"

a) Create a series in column A, titled "Angle (Degrees).
b) Fill a series in column A under degrees, going from 0 to 360 in increments of 10
c) In nearby columns, calculate the sin, cos and tan of each angle
d) Format the answer for sin, cos and tan to a "number" with 3 fixed decimal places
e) Using you calculator, compute the tan (90°) and the tan (π/2). Put the computed values in the spreadsheet to the side of the columns.
f) Are the values from the calculator and the value from the spreadsheet at degrees = 90 the same? Should they be the same? Any guesses as to why they are different?

Your spreadsheet should look something like this with the COS, SIN and TAN columns filled in.

3) Start a new sheet called "area"
Calculate the area of a circle with a diameter = 100 ft.

a) using the function pi() inside excel
b) using a value of 3.1416 for PI.
c) Is there a difference between the values? If yes, explain why there would be a difference.

Boxes should be filled in with your answers with an explanation below them

Reference no: EM131076598

Questions Cloud

What are the principal arguments supporting free trade : Describe how free trade works (ideally). In the discussion, be sure to address barriers to free trade associated with protectionist policies and what are the principal arguments supporting free trade?
Write two full page reflection of your personal experiences : Write a two (2) full page reflection of your personal experiences as they relate to the employee recruitment process and the employee selection process.
Circuit outside of europe : At which famous racing circuit outside of Europe have a record seven Formula 1 pilots been killed since 1950?
Describe why this benefit is true : Describe why this benefit is true.
Movement of damped oscillations during earthquakes : 1) Structural engineers may have to study the movement of damped oscillations during earthquakes. One equation that gives the horizontal displacement of an object as a function of time is:
What is the impact on the efficiency of the operations : What is the impact on the efficiency of the operations enqueue and dequeue if we were to maintain the queue's front at the beginning of the list and the queue's back at the list's end?
What is the net present value of this finance arrangement : Mac arranges financing for a load of contraband weapons he plans to sell to the rebels. The terms of the loan are as follows: The bank will provide Mac $76,000 today. Each year, for the next 15 years, Mac must pay the bank $12,400. Mac has a real dis..
Find an anti-derivative of the given functions : Integration Practice. Problem- Find an anti-derivative of the following functions: x ln x and x2 ln x
Determine the half-range cosine series expansion : Sketch the graphs of both f (t) and the periodic function represented by the series expansion for -2 t 2.

Reviews

Write a Review

 

Other Engineering Questions & Answers

  Determining the shape of shafts and the size of shafts

Determining the shape of shafts and the size of shafts - Detail the unit operations within a conventional drill and blast shaft sinking operation including the shaft bottom operations as well as those undertaken on the sinking stage.

  Develop a coherently structured paper

Describe the history and status of the issue and provide an overview of the problem(s) that need to be addressed. This should be one or two (1-2) paragraphs.

  Explain magnetic fluid is required for the application

Make a table assuming 10 g of magnetic fluid is required for the application or end use. In the table give the the cost per fluid using each of the three options and the volume fractions. Then report on the maximum viscosity, minimum cost, and opt..

  Identify at least four of the key decisions made during the

1. identify at least four of the key decisions made during the pre-initiating and initiating processes. do you think

  Safety guard down

1. With the combination of (Start button OR foot pedal depressed) AND safety guard down AND no overheat detected; the PLC will turn the motor on, the break off, and the overheat light off.1.

  Laplace transform in the analysis of systems

Discuss the advantages of Laplace Transform in the analysis of systems.  Discuss what is meant by a transfer function. How do they help describe system stability?

  Anatomical and functional divisions of the nervous system

Evaluate and distinguish between the anatomical and functional divisions of the nervous system.

  Familiar with programming and using the tower module

Become familiar with programming and using the Tower Module. Become familiar with I/O port programming

  What is the closed-loop voltage gain

The noninverting buffer op-amp configuration shown in Fig. P11.3 provides a direct implementation of the feedback loop of Fig. 11.1. Assuming that the op amp has infinite input resistance and zero output resistance, what is β?

  Represents the second highest overhead

For most organizations, the cost of built space represents the second highest overhead (OpEx) after staff costs. From critical consideration of the relevant research literature, your experience, and best practice in space management, consider the ..

  Cascade to form a new system

Two discrete-time systems T1 and T2 are connected in cascade to form a new system T as shown in figure. Prove or disprove the following statements.

  Compute descriptive statistics

ZMD is an aerospace company manufacturing commercial aircrafts. ZMD's Aircraft_Series_900 design specifications calls for a certain bolt, Bolt_A, with a minimum ultimate tensile strength of 17.4kN. In addition, ZMD's Quality and Manufacturing depa..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd