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Unformatted text preview: Chapter 10 Rotation A rigid object is one that is nondeformable--- that is, it is an object in which the separations between all pairs of particles remains constant. θ r s = Polar coordinates (r, θ ) r s = θ unit : radian (rad) (deg) 180 ) ( θ π θ = rad Chapter 10 Rotation Angular displacement, Velocity and Acceleration Angular displacement i f θ θ θ- = Δ Average angular speed Instantaneous angular speed t t t i f i f Δ Δ =-- ≡ θ θ θ ω dt d t t θ θ ω = Δ Δ ≡ → Δ lim Average angular acceleration t t t i f i f Δ Δ =-- ≡ ω ω ω α Instantaneous angular acceleration dt d t t ω ω α = Δ Δ ≡ → Δ lim Right-hand rule for determining the direction of the angular velocity vector Chapter 10 Rotation Rotational kinematics : Rotational Motion with Constant Angular Acceleration Rotational Motion About a Fixed Axis Linear Motion t i f α ω ω + = at v v i f + = 2 2 1 t t i i f α ω θ θ + + = 2 2 1 at t v x x i i f + + = ) ( 2 2 2 i f i f θ θ α ω ω- + = ) ( 2 2 2 i f i f x x a v v- + = Chapter 10 Rotation Angular and Linear Quantities ω θ r dt d r dt ds v = = = θ r s = ω d dv α ω r dt d r dt...
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This note was uploaded on 12/27/2011 for the course LSCI 103 taught by Professor K.y.liao during the Fall '11 term at National Cheng Kung University.
- Fall '11