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Lecture 7

# Lecture 7 - PHYSICS 220 Lecture 07 Circular Motion Lecture...

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PHYSICS 220 Lecture 07 Circular Motion Lecture 7 Purdue University, Physics 220 1

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Examples of Circular Motion Lecture 7 Purdue University, Physics 220 2
Uniform Circular Motion • Uniform circular motion assumes constant speed • The direction of the velocity is continually changing – The vector is always tangent to the circle – This object is accelerating • It must be acted on by a force

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Angular Motion Variables θ = s r If s = r , = 1 If s = 2 π r = 2 Lecture 7 Purdue University, Physics 220 4 Angles are often measured in radians rather than degrees. The angle θ in radians, is defined as: A complete revolution encompasses 2 π radians
Circular Motion Lecture 7 Purdue University, Physics 220 5 Δθ = θ 2 −θ 1 angular displacement in radians ω average = Δθ Δ t average angular velocity in radians/s = lim Δ t 0 Δθ Δ t instantaneous angular velocity in radians/s 1 revolution = 2 π radians The frequency is the number of revolutions per second f = 1 T = 2 revolutions second = 1 revolutions 2 radians i radians second T = 2 seconds revolution T = 2 r v

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Going from Circular to Linear Motion Lecture 7 Purdue University, Physics 220 6 Δ s = r Δθ
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Lecture 7 - PHYSICS 220 Lecture 07 Circular Motion Lecture...

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