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formula_sample_final

formula_sample_final - Physics 1112 Final Exam 2 May 2008...

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Physics 1112 Final Exam 2 May 2008 Formula/Data Sheets (Nothing written on these sheets will be graded) Kinematics: Definitions Translational: vector v vector Δr Δ t vector v lim Δ t 0 vector Δr Δ t vector a vector Δv Δ t vector a lim Δ t 0 vector Δv Δ t Rotational: ω Δ θ Δ t ω lim Δ t 0 Δ θ Δ t α Δ ω Δ t α lim Δ t 0 Δ ω Δ t Kinematics: Constant Acceleration Motion ( t i = 0 ) Translational (constant vector a): vector Δr = 1 2 ( vector v i + vector v f ) t vector Δr = vector v i t + 1 2 vector a t 2 vector Δv = vector a t v 2 fx = v 2 ix + 2 a x x ) Rotational (constant α ): Δ θ = 1 2 ( ω i + ω f ) t Δ θ = ω i t + 1 2 αt 2 Δ ω = αt ω 2 f = ω 2 i + 2 α θ ) Kinematics: Linear/Angular Relations, Radial Acceleration s = θr v t = ωr a t = αr T = 2 πr v = 2 π ω a r = v 2 t r = ω 2 r Translational Dynamics Definitions Work: W Fd cos θ (constant force) Power: P W t = Fv cos θ Kinetic energy: K 1 2 mv 2 Potential energy: W c = Δ U Total mechanical energy: E K + U Theorems/Laws Newton’s 1st Law: vector F net = 0 = vector v constant Newton’s 2nd Law:
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