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

Did reading book change your view on us immigration system

Did reading the book change your view on the US immigration system? Explain. Did reading the book reinforce, diminish or alter your attitude towards engineering as a career i

Find the order of magnitude of the density

Find the order of magnitude of the density of the nucleus of an atom. What does this result suggest concerning the structure of matter? Model a nucleus as protons and neutro

Draw a possible feedback control system

Draw a possible feedback control system for a) that would control the temperature of the outlet fluid being heated. Show the sensor, controller and final control element.

Determine the resistance between terminals a and b

What resistance in parallel with 120Ω results in an equivalent resistance of 48Ω. Determine the resistance between terminals a and b for the network shown in Figure.

Design a building which is located in tasmania

Assignment is about design a building which is located in Tasmania- Describe the renewable energy resources that might be available in the geographic region of interest. How

An external entity relationship diagram

You have been retained as a Software Engineering consultant to the Muddy Springs Bottled Water Company. The company runs a water bottling plant which is currently undergoing d

How many units should green thumb manufacture for sale

Does the following game has pure strategy nash equilibrium? Does it has mixed strategy nash equilibrium - How many units should Green Thumb manufacture for sale? What is the e

Plot frequency-gain dependence plot using plotting software

Write a report that summarizes this experiment. Your report brief must include: Plot the frequency-gain dependence plot using a plotting software (such as excel) and include i


Write a Review

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