physics cheat 4

# physics cheat 4 - Percent Error%Error = Exp Acpt 100 Acpt 2...

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

physics cheat 4 - Percent Error%Error = Exp Acpt 100 Acpt 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online