angular kinematics l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Angular Kinematics PowerPoint Presentation
Download Presentation
Angular Kinematics

Loading in 2 Seconds...

play fullscreen
1 / 7

Angular Kinematics - PowerPoint PPT Presentation


  • 352 Views
  • Uploaded on

Angular Kinematics. Linear kinematics does not handle curving trajectories well Always have acceleration due to changing direction Need to know radius of turn Want to isolate the motion of curving trajectories. A straight line has an always changing “radius” from a single point.

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 'Angular Kinematics' - sandra_john


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
angular kinematics
Angular Kinematics
  • Linear kinematics does not handle curving trajectories well
    • Always have acceleration due to changing direction
    • Need to know radius of turn
  • Want to isolate the motion of curving trajectories
slide2
A straight line has an always changing “radius” from a single point
  • Can think of “rolling up” a line so the radius is constant
definition of angular quantities
Definition of angular quantities
  • Angle corresponds to displacement
    • q = x / r
      • x is distance along curve, r is radius of curve
  • Angular velocity corresponds to velocity
    • w = Dq/Dt = v / r
  • Angular acceleration corresponds to tangential acceleration
    • a = Dw/Dt = at / r
      • at generates a speed change, not a directional change
slide4
Note that these are simply the linear quantities divided by the radius!
    • Can we use this to find kinematic relationships?
  • This is the displacement equation for angular motion!
slide5
Can derive other kinematic equations in a same way
  • Notice that linear kinematic equation and angular kinematic equation are almost the same
    • Replace linear quantities with angular quantities to transform between them
direction of angular motion
Direction of angular motion
  • Angular motion, like all motion, has a direction
  • Only stationary point is the center of the circle
    • Center defines axis of rotation
  • Use right hand rule to define direction
    • Curl fingers of right hand in direction of spin
    • Thumb points in direction of motion