1 / 10

Uniform Circular Motion

Uniform Circular Motion. Basic Principles & Formulas. Uniform Circular Motion Principles. Object moving at a constant speed (scalar) Object’s velocity is constantly changing due to a continuous change in direction Velocity is tangent is to circular motion

morrison
Download Presentation

Uniform Circular Motion

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. Uniform Circular Motion Basic Principles & Formulas

  2. Uniform Circular Motion Principles • Object moving at a constant speed (scalar) • Object’s velocity is constantly changing due to a continuous change in direction • Velocity is tangent is to circular motion • While in motion, there is a force and an acceleration being applied to the object

  3. Uniform Circular Motion Questions • While moving in a circular path, if string breaks, in what direction will the object travel? • In a straight line, perp. to radius (Law of Inertia) • In what direction is the force? • Inward • In what direction is the acceleration? • Inward

  4. Uniform Circular Motion Diagram Acceleration & Force = Parallel to Radius / Velocity = Perpendicular to Radius v a r f

  5. Uniform Circular Motion Terms & Formulas • Period (T) = time it takes to make 1 revolution • Period may be given, obvious or determined by time/revolutions ex. 25 rev. in 10 sec. T = 10/25  .4 sec (T = 1/f) • Frequency (f) = number of revolutions made in 1 sec. (f = 1/T) units = Hz

  6. Uniform Circular Motion Terms & Formulas • Velocity (v) = 2πr T • Acceleration (a) = 4π²r T² or v² r

  7. Uniform Circular Motion Terms & Formulas • Force (F) = mv² r or m 4π²r T²

  8. UCM Example Problem • A 615 kg race car completes 1 lap in 14.3 sec around a circular track with a radius of 50.0 m. What is the car’s T, f, v, a, F (on tires)? • T = 14.3/1 = 14.3 • f = 1/14.3 = 0.07 Hz

  9. UCM Example Problem (cont.) • V = (2)(π)(50.0) 14.3 = 21.97 m/s • a = (21.97 m/s)² 50.0 = 9.65 m/s²

  10. UCM Example Problem (cont.) • F (on tires) = (615 kg)(21.97 m/s)² 50.0 m = 5,936 N

More Related