Phys2A_F07_Lecture_10

Phys2A_F07_Lecture_10 - Motion in a Circle For uniform...

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W. P. Beyermann Fall 2007 1 Motion in a Circle For uniform circular motion, the acceleration is constant and always points toward the center of rotation. This is called centripetal acceleration, and its magnitude is v 2 /r .
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W. P. Beyermann Fall 2007 2 Uniform Circular Motion radians. in measured is where , θ r s = Angular Position
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W. P. Beyermann Fall 2007 3 i f θ = Δ dt d t t ω = Δ Δ = Δ 0 lim Angular Velocity For a particle in circular motion, the velocity only has a tangential component. r dt d r dt ds v t = = = Then with measured in rad/s.
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W. P. Beyermann Fall 2007 4 . at time graph versus the of slope t t θ ω= . and between graph versus under the area f i i f t t t ω + = t i f Δ + =
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W. P. Beyermann Fall 2007 5 Graphical Representation of Circular Motion
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W. P. Beyermann Fall 2007 6 A particle moves cw around a circle at constant speed for 2 s. It then reverses direction and moves ccw at half the original speed until it has traveled though the same angle. Which is the particle’s angle-versus-time graph? b Conceptual Example
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W. P. Beyermann Fall 2007 7 r-t-z Coordinate System
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This note was uploaded on 04/07/2008 for the course PHY 2A taught by Professor Beyermann during the Fall '08 term at UC Riverside.

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Phys2A_F07_Lecture_10 - Motion in a Circle For uniform...

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