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fomula final.docx - Linear Motion Rotational Motion x...

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Linear Motion Rotational Motion Position x θ Angular position Velocity v Angular velocity Acceleration a Angular acceleration Motion equations x = ´ v t θ = ´ ωt v = v 0 + at ω = ω 0 + at ( x x 0 )= v 0 t + 1 2 at 2 ( θ θ 0 )= ω 0 t + 1 2 at 2 v 2 = v 0 2 + 2 a ( x x 0 ) ω 2 = ω 0 2 + 2 a ( θ θ 0 ) Mass (linear inertia) m i = m r 2 Moment of inertia Newton ‘s second law F = m a τ = ia Momentum p = mv L = Angular momentum Work W = fd W = τ θ Kinetic energy K = 1 2 m v 2 K = 1 2 I ω 2 Power p = Fv p = τω Kinematic: v avg = d ∆t = d f d i t f t i = v xi + v xf 2 a avg = ∆ v ∆t = v f v i t f t i h = v i 2 sin 2 θ i g R = v i 2 sin 2 θ i g Uniform circular motion & rotational motion: a c = v 2 r T = 2 πr v f = 1 T ω = 2 π T v t = rω a c = r ω 2 Vector: A = A x ^ i + A y ^ j + A z ^ k A ∙ B = ABcosθ ^ i∙ ^ i = ^ j ∙ ^ j = ^ k∙ ^ k = 1 ^ i∙ ^ j = ^ j∙ ^ k = ^ k ∙ ^ j = 0 Emergencies: W= F d r = | F || r | cos θPower : P = W t = Fv ∆ K + ∆U = W ext ∆ K L + ∆K r + ∆U g + ∆U s = W ext K L = 1 2 m v 2 K r = 1 2 I ω 2 U g = mghU s = 1 2 k x 2 F=-du/dx Dynamic: F= dp dt = ¿ ma F g = mg F f = μFn F c = m v 2 r τ = Fd Hooke’s law: F=-kx Momentum: p =
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