# lecture11 - Rotation of a Rigid Body (Chapter 10) Each...

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Physics 1D03 - Lecture 10 1 Rotation of a Rigid Body (Chapter 10) Each particle travels in a circle. The speeds of the particles differ, but each one completes a full revolution in the same time. We describe the rotational motion using angle , angular velocity , and angular acceleration:

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Physics 1D03 - Lecture 10 2 Units: by convention, angles are measured in radians. r s arc length 2 π rad = 360 o Angular velocity has units of rad/s or s -1 Angular acceleration has units of rad/s 2 or s -2 (The radian is a ratio of two lengths, and not really a unit. Some equations will require angles to be in radians.)
Physics 1D03 - Lecture 10 3 ( 29 ( 29 ( 29 ( 29 ( 29 t dt d t t dt d t t ϖ α θ = = angle (“theta”): angular velocity (“omega”): angular acceleration (“alpha”): 0 reference axis (radians) (rad/s) (rad/s 2 )

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Physics 1D03 - Lecture 10 4 Linear and angular quantities ϖ θ r dt d r r dt d dt ds v t = = = = ) ( r P 0 circular path of point P v s Distance: s = r Tangential Velocity: A particle P travels in a circle of radius r. The velocity is tangential to the circle and perpendicular to the radius.
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## This note was uploaded on 11/08/2010 for the course PHYSICS PHYSICS 1D taught by Professor Mckay during the Spring '09 term at McMaster University.

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lecture11 - Rotation of a Rigid Body (Chapter 10) Each...

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