1 / 14

Vectors and Scalars

This chapter explores the fundamental concepts of vectors and scalars in physics. A vector is defined as a quantity with both direction and magnitude, while a scalar has only magnitude. Examples include position, velocity, and force for vectors, and mass for scalars. The chapter outlines how to add vectors by determining their X and Y components using sine and cosine functions, calculating the resultant components, and using the Pythagorean theorem and inverse tangent function to find the magnitude and direction of resultant vectors.

vivian
Download Presentation

Vectors and Scalars

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. Vectors and Scalars Chapter 2

  2. Definitions • A vector is a quantity that has both direction and magnitude. • Examples of vectors include: position, velocity, acceleration, force, and torque. • A scalar is a quantity that has only magnitude. • Examples of scalars include: mass and moment of inertia.

  3. The length of each arrow (vector) depicts it’s magnitude. The angle of the arrow (vector) to the right horizontal depicts it’s direction.

  4. Adding Two or More Vectors • 1. Get the X, Y components of each vector using Sin and Cos. • X = r ( cos ) Y = r ( sin ) • 2. Add the X components together to get a resultant x component Rx. • Rx = Ax + Bx + Cx + … • 3. Add the Y components together to get a resultant y component Ry. • Ry = Ay + By + Cy + … • 4. Get the magnitude of the resultant vector using the Pythagorean formula. • 5. Get the direction of the resultant vector using the inverse tangent function. • 6. Convert the angle to 0 – 360 measured CCW from the right horizontal.

More Related