phy2048 lecture19

# phy2048 lecture19 - Rotational Kinematics 29 29 2 2 2 2 1 2...

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10-1 What Is Physics?  10-2 The Rotational Variables 10-3 Are Angular Quantities Vectors? 10-4 Rotation with Constant Angular Acceleration 10-5 Relating the Linear and Angular Variables 10-6 Kinetic Energy of Rotation 10-7 Calculating the Rotational Inertia 10-8 Torque 10-9 Newton’s Second Law for Rotation 10-10 Work and Rotational Kinetic Energy Chapter 10: Rotation Chapter 10 Homework 1, 6, 10, 13, 20, 25, 30, 33, 36, 41, 47, 51, 52, 58, 61, 66

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Linear Motion Angular Displacement Vector * – counterclockwise: positive SI Unit – radian (rad) [dimensionless] 1 2 r r r - = r s = = Radius length Arc radian) (in θ rev 1 360 rad 2 = = π r s = 0 - =
Linear Motion Angular Velocity Vector – right-hand rule SI Unit – rad/s [T -1 ] dt d t θ ϖ = = avg r v = dt r d v t r v = = avg

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Linear Motion Angular Acceleration Vector SI Unit – rad/s 2 [T -2 ] dt d t ϖ α = = avg dt v d a t v a = = avg r r v a r a r t 2 2 = = = a t a r a
Linear Motion

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Unformatted text preview: Rotational Kinematics ( 29 ( 29 2 2 2 2 1 2 1 2 θ α ϖ-+ = + =-+ =-+ = t t t t ( 29 ( 29 2 2 2 2 1 2 1 2 x x a v v at t v x x t v v x x at v v-+ = + =-+ =-+ = Rotational Motion with Constant Angular Acceleration Rotational Motion with Constant Angular Velocity t θ= vt x = Examples Sample Problem 10-3 . Constant Angular Acceleration α = 0.35 rad/s, ϖ = –4.6 rad/s, θ = 0 Find t when = 5.0 rev, and t when = 0. (32 s, 13 s) Sample Problem 10-4 . Constant Angular Acceleration = 3.40 rad/s, = 2.00 rad/s, ∆θ = 20.0 rev Find and t . (–0.0301 rad/s 2 , 46.5 s) Sample Problem 10-5 . Horizontal Roller Coaster Track = 0, a t = g , a P = 4 g Find P . (111º)...
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phy2048 lecture19 - Rotational Kinematics 29 29 2 2 2 2 1 2...

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