a mathematics review
Download
Skip this Video
Download Presentation
A Mathematics Review

Loading in 2 Seconds...

play fullscreen
1 / 10

A Mathematics Review - PowerPoint PPT Presentation


  • 220 Views
  • Uploaded on

A Mathematics Review. Unit 1 Presentation 2. Why Review?. Mathematics are a very important part of Physics Graphing, Trigonometry, and Algebraic concepts are used often Solving equations and breaking down vectors are two important skills. Graphing Review.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' A Mathematics Review' - quanda


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
a mathematics review

A Mathematics Review

Unit 1 Presentation 2

why review
Why Review?
  • Mathematics are a very important part of Physics
  • Graphing, Trigonometry, and Algebraic concepts are used often
  • Solving equations and breaking down vectors are two important skills
graphing review
Graphing Review
  • Graphing in Physics done on a Cartesian Coordinate System
    • Also known as an x-y plane
  • Can also graph in Polar Coordinates
    • Also known as an r,q plane
    • Very Useful in Vector Analysis
rectangular vs polar coordinates
Rectangular vs. Polar Coordinates

Rectangular Coordinate System

X-Y Axes Present (dark black lines)

X Variable

Y Variable

Polar Coordinate System

NO X-Y Axes

R Variable (red lines)

q Variable (blue/black lines)

trigonometry review
Trigonometry Review
  • Remember SOHCAHTOA?

Opposite Side

Pythagorean Theorem for Right Triangles:

Hypotenuse Side

q

Adjacent Side

using polar coordinates
Using Polar Coordinates
  • To convert from Rectangular to Polar Coordinates (or vice versa), use the following:
polar coordinates example
Polar Coordinates Example
  • Convert (-3.50 m, -2.50 m) from Cartesian coordinates to Polar coordinates.

But, consider a displacement in the negative x and y directions. That is in Quadrant III, so, since polar coordinates start with the Positive x axis, we must add 180° to our answer, giving us a final answer of 216°

another polar coordinates example
Another Polar Coordinates Example
  • Convert 12m @ 75 degrees into x and y coordinates.

First, consider that this displacement is in Quadrant I, so our answers for x and y should both be positive.

trigonometry review1
Trigonometry Review
  • Calculate the height of a building if you can see the top of the building at an angle of 39.0° and 46.0 m away from its base.

First, draw a picture.

Since we know the adjacent side and want to find the opposite side, we should use the tangent ratio.

Building Height

39.0°

46.0 m

another trigonometry example
Another Trigonometry Example
  • An airplane travels 4.50 x 102 km due east and then travels an unknown distance due north. Finally, it returns to its starting point by traveling a distance of 525 km. How far did the airplane travel in the northerly direction?

First, draw a picture.

This problem would best be solved using the Pythagorean Theorem.

N

525 km

x km

450 km

ad