2020-lin-rot-f10 - 2 1 2 o o t 2 1 t α ϖ θ = θ 29 o 2 o...

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Comparison of Linear Motion and Rotational Motion, PHY 2020, Professor Qiu (20/10) Linear Motion Displacement x Velocity t x v = Acceleration t v a = Constant acceleration equations at v v o + = ( 29 v v 2 1 v o average + = 2 o o at 2 1 t v x x + + = ( 29 o 2 o 2 x x 2 v v a - - = Mass m Momentum mv p = Force F Power v F P = Newton’s 2nd Law = ma F Equilibrium 0 F net = Kinetic Energy 2 v m 2 1 KE = Con. of Linear Momentum = f j o i p p Work d F W = Rotational Motion Angular Displacement θ Angular Velocity t θ = ϖ Angular Acceleration t ϖ = α Constant angular acceleration equations t o α + ϖ = ϖ ( 29 ϖ + ϖ = ϖ o average
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Unformatted text preview: 2 1 2 o o t 2 1 t α + ϖ + θ = θ ( 29 o 2 o 2 2 θ-θ ϖ-ϖ = α Moment of Inertia 2 i i r m I ∑ = Angular Momentum ϖ = I L Torque α = = τ I F Power ϖ τ = P Newton’s 2nd Law ∑ α = τ I Equilibrium net = τ Rotational Kinetic Energy 2 I 2 1 KE ϖ = Con. of Angular Momentum ∑ ∑ = f j o i L L Work θ τ = W Conservation of Energy holds for both linear and rotational motion!...
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