PHY 317K 1st Edition Lecture 10Outline of Last LectureI. Problems II. Elastic CollisionsIII. Inelastic CollisionsIV. Conservation of MomentumOutline of Current LectureI. Rotational MotionII. Angular VelocityIII. Angular AccelerationIV. Equations for Rotational MotionV. Moment of InertiaCurrent LectureRotational Motion:- Rotational motion is the rotation around a fixed axis- The movement of any object which deals with the rotation around the center of mass- Instead of using linear velocity and linear acceleration, there is angular velocity and angular accelerationAngular Velocity:- W (omega) is the denotation for angular velocity- W = angular displacement/time- W = theta / time- Theta is given in radiansAngular Acceleration:- Alpha is the denotation for angular acceleration- Alpha = change in angular velocity divided by time- Alpha is given in units of radians divided by seconds squaredEquations for Rotational Motion:- Similar to linear motion, the following equations are translated into omega and alpha forrotation motion- V = W (omega)- A = α (alpha)1. ω f = ω 0 α t2.3.4. ω f 2 = ω 0 2 + 2αθMoment of Inertia:- Moment of inertia of a point of mass about the center of rotation- Rotational Inertia is denoted by “I”- I = summation of all the masses and the radii’s squared- I = summation (mi ri^2)- I is in units of kilogram meters
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