1 / 14

Circular motion

Circular motion. Measuring Circular Motion (Method 1). 1 complete rotation = 1 revolution Measure rotational motion by counting the number of rotations Most common unit of measurement = revolution (abbreviated rev ). Measuring Circular Motion (Method 2). 360°.

genica
Download Presentation

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. Circular motion

  2. Measuring Circular Motion (Method 1) • 1 complete rotation = 1 revolution • Measure rotational motion by counting the number of rotations • Most common unit of measurement = revolution (abbreviated rev)

  3. Measuring Circular Motion (Method 2) 360° • Can also measure using degrees • 1 rotation = 1 revolution = 360°

  4. Measuring Circular Motion (Method 3) Θ=s/r • Radian (rad): angle with vertex at center of circle whose sides cut off an arc on circle equal to its radius • Radius = r • Length of arc = s • angle = 1 radian • Unitless dimension – use rad to avoid confusion

  5. Converting between different measurement • By definition: 1 rev = 360° = 2πrad • Convert 10πrad to revolutions

  6. Converting from Degree to Rad • θrad=(π/180)θdegrees • Convert 75 degrees to radians

  7. Angular Displacement • Distance through which any point on rotating body moves (angular distance instead of linear distance) • Example: when a wheel makes one complete rotation, it’s angular displacement has been 1 rev, 2πrad, or 360°

  8. Angular Velocity • Similar to linear velocity, except instead of linear displacement, use angular displacement • Angular velocity = rev/time • OR ω = angular displacement (θ)/time (t) • Units = rad/s or rev/min θ t ω =

  9. Example • A motorcycle wheel turns 7200 times while being ridden for 10 min. What is the angular velocity in rev/min?

  10. Linear Velocity • The linear speed on any point on rotating circle = v = ωr v = linear velocity ω = angular velocity r = radius • Can measure using stroboscope or strobe light

  11. Example: Linear Velocity A wheel of 1.00 m radius turns at 1000 rpm. Find the linear speed of a point on the rim of the wheel.

  12. Angular Acceleration Angular acceleration = rate of change of angular velocity α = angular acceleration Δω = change in angular velocity t = time Δω t α =

  13. Equations: Linear vs. Rotational Motion

  14. Sample Calculations • To calculate various components of angular motion, click on the link listed below: http://canario.iqm.unicamp.br/MATDID/HyperPhysics/hbase/rotq.html

More Related