How Do You Model Building Sway with Trigonometric Functions?

In summary, the question is to write an equation to define a building swaying 55 cm to the right from origin in 5 seconds and 55 cm to the left of the origin in 35 seconds. The equation should involve trigonometry and account for an amplitude, phase shift, and period of 30 seconds. The person asking the question is looking for resources to improve their math skills, as they have encountered errors and misconceptions in their textbook.
  • #1
runicle
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this is my question:
A Building sways 55cm to the right from origin in 5 seconds and 55 cm to the left of the origin in 35 seconds. And i am supposed to write an eqaution to define this.

I'm guessing the is no amplitude no vertical translation and since it's sine basically I am going to need some help...

Does anyone have any resources of GOOOD LIABLE EASY TO FOLLOW MATH SKILLS? My book Nelson Mathematics 11 with the rollercoaster in the front has a bunch of errors and misconceptions.
 
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  • #2
runicle said:
Does anyone have any resources of GOOOD LIABLE EASY TO FOLLOW MATH SKILLS? My book Nelson Mathematics 11 with the rollercoaster in the front has a bunch of errors and misconceptions.

Do you mean reliable?(not sure how liable comes into play)

What concepts are you looking for and maybe we can show you a link to one online. Also see what your book says and maybe it is actually correct and you aren't grasping the concept.

I find it unlikely that your instructor would give you a book with multiple errors and "misconceptions".
 
  • #3
It's a very weird question. I think you are looking for rotational kinematics here, as there is no translational motion. Why don't you express angular displacement as a function of time? In any case, the question seems too imprecise and vaugue to be a physics question to me.
 
  • #4
First off its supposed to be solved using trigonometry and i figured out the question to today. Please note Key words like "guessing".
 
  • #5
runicle said:
this is my question:
A Building sways 55cm to the right from origin in 5 seconds and 55 cm to the left of the origin in 35 seconds. And i am supposed to write an eqaution to define this.

I'm guessing the is no amplitude no vertical translation and since it's sine basically I am going to need some help...

Does anyone have any resources of GOOOD LIABLE EASY TO FOLLOW MATH SKILLS? My book Nelson Mathematics 11 with the rollercoaster in the front has a bunch of errors and misconceptions.
I'm not sure I'm clear on what you're saying. You definitely have an amplitude - 55 cm. You also have 30 seconds between the positive peak and negative peak (which is which depends on whether you decide 'right' is positive or negative). You also have a phase shift, since the building should sway left and right at the same rate.
 

FAQ: How Do You Model Building Sway with Trigonometric Functions?

What is the difference between a cosine graph and a sine graph?

A cosine graph represents the horizontal displacement of a point on a unit circle, while a sine graph represents the vertical displacement of the same point.

How do you determine the period of a cosine or sine graph?

The period of a cosine or sine graph is the distance between two consecutive peaks or troughs. It can be calculated by dividing 360 degrees by the coefficient of the variable inside the trigonometric function.

What is the amplitude of a cosine or sine graph?

The amplitude is the maximum distance of a point on the graph from the midline. It is equal to half the difference between the maximum and minimum values of the function.

How do you find the x-intercepts of a cosine or sine graph?

The x-intercepts of a cosine graph occur at intervals of 180 degrees and the x-intercepts of a sine graph occur at intervals of 360 degrees. These can be calculated by solving the equation cos(x) = 0 or sin(x) = 0, respectively.

Can a cosine or sine graph have a negative amplitude?

Yes, a cosine or sine graph can have a negative amplitude. This simply means that the graph is reflected over the x-axis, resulting in a negative value for the amplitude. It does not change the period or shape of the graph.

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