1 / 12

Chapter 1

Chapter 1. Trig Review and Vectors. Right Triangles. Pythagorean theorem Sohcahtoa. Caution! These relationships exist ONLY for right triangles!. Take a Closer Look. Law of Sines. a,b , c are lengths of sides. A, B, and C all represent angles. Try a few examples with this triangle.

paiva
Download Presentation

Chapter 1

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 1 Trig Review and Vectors

  2. Right Triangles • Pythagorean theorem • Sohcahtoa Caution! These relationships exist ONLY for right triangles!

  3. Take a Closer Look

  4. Law of Sines a,b, c are lengths of sides A, B, and C all represent angles Try a few examples with this triangle

  5. Law of Cosines You can use this law and the law of sines for ANY triangle!

  6. Other Math Reminders • Don’t forget the quadratic equation… someday I’ll learn the song. • Alternate interior angles • 3,4,5 triangles • Angles add up to 180⁰ • Use the appendix, math text books, and internet for math review as needed! • Dimensional Analysis

  7. Vectors • In physics, measurable quantities are referred to as either scalaror vector • Scalar quantities are those quantities not associated with a direction • Vector quantities include both magnitude and direction

  8. Vector vs. Scalar • Scalar quantities • Time • Distance • Speed • Temperature • Vector quantities • Force • Displacement • Velocity • Acceleration • Momentum

  9. Vector Addition • Add vectors graphically using a ruler and protractor • ALWAYS add vectors using the head-to-tail method • Vector magnitudes must be scaled to the magnitude of the quantity being represented. • Vectors can also be added using geometry and trig • When doing this, a ruler and protractor is not always necessary • Vector components can be used for more complicated addition

  10. Vector Subtraction • When subtracting vectors, use the same method as addition • The only difference is that you will be reversing the direction of the subtracted vector

  11. Vector Components • All vectors can be “resolved into components.” • Simply put, vectors have an x- and y- component. • Usually, sohcahtoa is used to help determine these components • Most helpful for the addition of more than one vector

  12. Addition of Vectors A jogger runs 145m in a direction 20.0⁰east of north and then 105m in a direction 35.0⁰ south of east. Determine the magnitude and direction of the resultant vector using three methods! YES, use all three this time.

More Related