physics cheat 4 - Percent Error %Error = Exp - Acpt 100%...

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Kinematics Parallel Axis Theorem %Error = Exp Acpt Acpt × 100% v 2 v 2 0 = 2 a Δ x v = v 0 + at I = I CM + Md 2 Oscillations and Waves Harmonic Oscillation Maximum Values Equation of Motion Phase Constant No Slipping x ( t ) = A cos( ω t + φ ) v ( t ) = ω A sin( ω t + φ ) a ( t ) = ω 2 A cos( ω t + φ ) v max = ω A a max = ω 2 A d 2 θ dt 2 = ω 2 θ φ = ω t max x = θ r v = ω r a = α r Harmonic Traveling Wave Wavefunction Static Wave Max Disp y = A cos[ k ( x vt )] positive x y = A cos[ k ( x + vt )] negative x y = A cos( kx ω t ) y = A sin 2 π x λ + φ v = 0 Reflected Wave Beat Frequency Eigenfrequencies y r ( x , t ) = y i (2 L x , t ) f beat = f 1 f 2 f n = n v 2 L , n = 1,2,3,. .. Halfway to equilibrum point Small Oscillation Approximations Simple Pendulum ball on a string Physical Pendulum whole mass x = A 2 cos θ 1 sin θ θ ω = g l T = 2 π l g ω = mgd I T = 2 π I mgd Some Relationships f = 1 T T = 2 π ω v = λ f = τ μ = B ρ k = 2 π λ ω = 2 π f = vk = 2 π v λ P = 1 2 μ ω 2 A 2 v Sound Intensity Intensity Level x equally powerful sound producers I = Ρ A Ρ = dW dt β = 10 log I I 0 I 0 = 1 × 10 12 W/m 2 β = 10 log x + β Echo Doppler Effect (toward/away) time with energy efficiency n using energy E t real = t heard 2 f = v sound ± v O v sound v S f t = ( n /100) E P = ( n /100) E AI 0 10 β /10 = ( n /100) E 4 π R 2 I 0 10 β /10 Doppler Effect Wind Speed Decrased Intensity >< <> >< +/– –/– <> +/+ –/+ v w v O v S f = v sound + ( v O + v w v sound ( v s v w ) f I 2 = I 1 r 2 1 r 2 2 Open at One End Open at Both Ends Fixed Ends Mach Cone f 1 = v 4 L , f 2 = 3 v 4 L , f 3 = 5 v 4 L , . .. There are NO even harmonics f 1 = v 2 L , f 2 = v L , f 3 = 3 v 2 L , . .. λ
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physics cheat 4 - Percent Error %Error = Exp - Acpt 100%...

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