PHY 107 1st Edition Lecture 22 Outline of Last Lecture I. RotationOutline of Current LectureII. Rotation (cont.)Current LectureRotation: - Relating linear and angular velocities: Arc length s and the angle θ are connected by s = rθ v = rω T = 2 πω T = 1f ω = 2πf- Angular acceleration: Acceleration of a point P is a vector with 2 components:1. Radial (centripetal) – along radius pointing toward O αr = v2r = ω2r2. Tangential – along tangent to circular pathαt = rαThese notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute. α = √ar2+at2- Kinetic energy of rotation: Rotational inertia (moment of inertia):o I = ∑imiri2o I = ∫r2dmo K = ½ Iω2 - Parallel axis theorem – the rotational inertia I about an axis parallel to the axis through Othat passes through point P, a distance H from O, is given by: I = Icom +
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