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# nlec6 - Lecture 6 P112 Feb 1 2008 Announcements Lab 2 Next...

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Lecture 6 P112 Feb 1, 2008

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Announcements Lab 2: Next Week Prelim 1 exam coming up in 3 weeks (Feb 28) Quiz 2: Next Week
Agenda for today Uniform circular motion Non-uniform circular motion Good example where derivation is more important than result. Big Q: How do we understand pos/vel/accel for motion that is not in straight line. (circular motion is case where x-y components are not best approach)

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Motion in a circle with: – constant radius R – constant speed v = | v | – r(t) and v(t) are rotating vectors – Is the velocity constant? What is Uniform Circular Motion?
Uniform circular motion Velocity changes direction, magnitude stays the same. There must be an acceleration! Remember definition of average acceleration: R v 2 v 1

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Uniform circular motion Direction of acceleration a is pointing toward the center of the circle Anything we can say about the magnitude of a ? v 1 v 2 v 2 v 1 Δ v Δ v
Uniform circular motion There are two similar triangles (angle φ is the same since R and v are at a right angle) This means that the ratios of corresponding sides are equal Use that to calculate a !

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