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Lecture08

# Lecture08 - PHYSICS 220 Lecture 08 Circular Motion Textbook...

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Lecture 8 Purdue University, Physics 220 1 Lecture 08 Circular Motion Textbook Sections 5.1 - 5.3 PHYSICS 220

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Lecture 8 Purdue University, Physics 220 2 Overview Last Lecture – 2 Dimensional Dynamics – Relative Motion • Today – Description of uniform circular motion – Centripetal acceleration
Lecture 8 Purdue University, Physics 220 3 Examples of Circular Motion

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Lecture 8 Purdue University, Physics 220 4 Uniform Circular Motion Uniform circular motion: The motion of an object traveling at constant (uniform) speed on a circular path – The speed (magnitude of the velocity) is constant – The velocity vector direction changes as the object moves on the circle
Lecture 8 Purdue University, Physics 220 5 Angular Variables The motion of objects moving in circular (or nearly circular) paths, is often described by angles measured in radians rather than degrees. The angle θ in radians, is defined as: If s = r the angle is 1 rad If s = 2 π r (the circumference of the circle) the angle is 2 π rad. (In other words, 360° = 2 π rad .)

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Lecture 8 Purdue University, Physics 220 6 Circular Motion Angular displacement Δθ = θ 2 - θ 1 – How far it has rotated Angular velocity ω av = Δθ / Δ t – How fast it is rotating – Units: radians/second (2 π = 1 revolution) • Period = 1/frequency – T = 1/f = 2 π / ω – Time to complete 1 revolution
Lecture 8 Purdue University, Physics 220 7 Circular to Linear • Displacement Δ s = r Δθ ( θ in radians) • Speed |v| = | Δ s/ Δ t| = r | Δθ / Δ t| = r| ω | |v| = 2 π rf |v| = 2 π r/T Direction of v is tangent to circle

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Lecture 8 Purdue University, Physics 220 8 v = r ω = 0.06
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Lecture08 - PHYSICS 220 Lecture 08 Circular Motion Textbook...

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