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PHYS16 – Lecture 21. Circular Motion October 27, 2010. Administration. Test Th /F 1-4 pm Merrill 200 Same Format Remember 4 assignments due Sunday or Monday. Where have we been…. Position, Velocity, and Acceleration 1D and 2D Motion – Kinematics Force – Newton’s laws Momentum

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phys16 lecture 21

PHYS16 – Lecture 21

Circular Motion

October 27, 2010

administration
Administration
  • Test
    • Th/F 1-4 pm
    • Merrill 200
    • Same Format
  • Remember 4 assignments due Sunday or Monday
where have we been
Where have we been…
  • Position, Velocity, and Acceleration
  • 1D and 2D Motion – Kinematics
  • Force – Newton’s laws
  • Momentum
  • Energy

http://www.teachengineering.org/collection/cub_/lessons/cub_images/cub_rockets_lesson02_figure3.jpg

where we are going
Where we are going…
  • Applications
    • Circular Motion and Rotation
    • Static Equilibrium
    • Gravitation and Movement of Planets
    • Fluids
  • Mechanical waves

http://www.ux1.eiu.edu/~cfadd/1350/06CirMtn/Images/loop.gif

circular motion and rotation
Circular Motion and Rotation
  • Angular disp., velocity, and acceleration
  • Circular motion kinematics
  • Centripetal force
  • Angular momentum
  • Torque and inertia
  • Simple Machines II – gears, belts, and levers
polar coordinates
Polar Coordinates

http://en.citizendium.org/images/thumb/1/18/Polar_coordinates_.png/250px-Polar_coordinates_.png

angular displacement
Angular displacement
  • Angular displacement – the angular difference between final and initial angle
  • Arc length – angular equivalent of distance, how long the arc is that the angle sweeps out

Scalar or vector?

angular velocity
Angular velocity
  • Angular velocity or angular frequency (ω) – how much an object’s angular coordinate changes with time
  • Related to frequency (f) and period (T)

http://en.citizendium.org/images/thumb/1/18/Polar_coordinates_.png/250px-Polar_coordinates_.png

discussion questions
Discussion Questions
  • Which way does ball on string go?
  • If you have a rotating wheel and I want to velcro a marble to it, where should I velcro to get max ang. velocity? Where should I velcro to get max lin. velocity?

Tangentially

Ang. Velocity is the same for any point on wheel

Lin. Velocity is greatest at edge

angular vs linear velocity
Angular vs. linear velocity

http://edubuzz.org/blogs/advhigherthings/files/2008/09/circle-diagram.jpg

angular acceleration
Angular acceleration
  • Angular acceleration (α) – how the angular velocity changes in time
  • Related to the tangential acceleration (aT)
angular vs linear acceleration
Angular vs. linear acceleration
  • Uniform circular motion – α = 0, only centripetal accel. (aC)
  • Non-uniform circular motion – both aT and aC

aT

aC

http://upload.wikimedia.org/wikipedia/commons/thumb/2/22/Nonuniform_circular_motion.svg/293px-Nonuniform_circular_motion.svg.png

centripetal force1
Centripetal Force
  • Force keeping an object moving in a circle

http://astronomy.swin.edu.au/cms/imagedb/albums/scaled_cache/centripedal-316x300.png