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Lecture07_Pushkar_2012

Lecture07_Pushkar_2012 - UNIMPORTABLE#817EE11E...

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Lecture 7 Purdue University, Physics 220 1 UNIMPORTABLE: #817EE11E, 4.00 #8279AE55, 2.00 #834C955A, 4.00 #83CA7831, 4.00 #841D4BD2,4.00
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Lecture 7 Purdue University, Physics 220 2 Lecture 07 Circular Motion PHYSICS 220
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Lecture 7 Purdue University, Physics 220 3 Examples of Circular Motion
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Uniform Circular Motion Assume constant speed The direction of the velocity is continually changing The vector is always tangent to the circle Uniform circular motion assumes constant speed period of the motion: T = 2 π r/v [s]
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Lecture 7 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 .) θ = s r
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Lecture 7 Purdue University, Physics 220 6 Circular Motion Period = 1/frequency T = 1/f Time to complete 1 revolution Angular displacement ∆θ = θ 2 - θ 1 How far it has rotated Angular velocity ϖ av = ∆θ/∆ t How fast it is rotating Units: radians/second (2 π = 1 revolution) ϖ = 2 π / Τ ϖ = lim t 0 θ t
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Lecture 7 Purdue University, Physics 220 7 Circular to Linear Displacement s = r ∆θ in radians) Speed |v| = | s/ t| = r | ∆θ / t| = r| ϖ| |v| = 2 π rf |v| = 2 π r/T Direction of v is tangent to circle
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Lecture 7
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