lecture11 - Rotation of a Rigid Body(kinematics Text...

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1 Physics 1D03 - Lecture 10 Rotation of a Rigid Body (kinematics) Text Sections 10.1—10.3 Practice Problems: Chapter 10, Conceptual Question 1; problems 1, 3, 9, 17, 19 Physics 1D03 - Lecture 10 Rotation of a Rigid Body 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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2 Physics 1D03 - Lecture 10 ( ) ( ) ( ) ( ) ( ) t dt d t t dt d t t ω α θ ω θ = = angle (“theta”): angular velocity (“omega”): angular acceleration (“alpha”): 0 θ reference axis (radians) (rad/s) (rad/s 2 ) Physics 1D03 - Lecture 10 Units: by convention, angles are measured in radians. or θ θ r s r s = = r r θ s arc length 2 π rad = 360 o Then ω has units of rad/s or s -1 and α 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.)
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3 Physics 1D03 - Lecture 10 Quiz The Earth rotates on its axis. How does its angular velocity ω vary with location?
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