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PHYS16 – Lecture 21

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

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  1. PHYS16 – Lecture 21 Circular Motion October 27, 2010

  2. Administration • Test • Th/F 1-4 pm • Merrill 200 • Same Format • Remember 4 assignments due Sunday or Monday

  3. 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

  4. 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

  5. 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

  6. Angular displacement, velocity, and acceleration

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

  8. 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?

  9. 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

  10. 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

  11. Angular vs. linear velocity http://edubuzz.org/blogs/advhigherthings/files/2008/09/circle-diagram.jpg

  12. Angular acceleration • Angular acceleration (α) – how the angular velocity changes in time • Related to the tangential acceleration (aT)

  13. 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

  14. Angular Kinematics

  15. Angular kinematics – same as linear • Assume α=constant

  16. Centripetal Force

  17. Centripetal Force • Force keeping an object moving in a circle http://astronomy.swin.edu.au/cms/imagedb/albums/scaled_cache/centripedal-316x300.png

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