 Review Sheet Standing Waves / Resonance

Web Resources

 Resource lessons: Standing Waves Wave Interference Sound Fundamentals Resonance
 Worksheets: Fixed-Free End Reflections Standing Wave Patterns Wave Review Practice Speed of Sound Resonance in Pipes Sound/Resonance Review Drill
 Homework Sets Set #5: Standing Waves and Resonance (solutions)    pg 444 #72, 73, 76, 77, 81, 82, 85 Set #6: Speed of Waves in Strings (solutions)    pg 443 #79, 80 Set #7: Sound Properties    pg 470 Exercises #1, 3, 4, 5, 6, 8 Set #8: Speed of Sound (whiteboard notes)    pg 470-471 Exercises #10, 11(a), 13, 17, 19, 21 Set #9: Resonance in Pipes (whiteboard notes)    page 473-474 Exercises #72, 74, 75, 76, 77, 78, 83
 Labs: Speed of Sound in Air Speed of Sound in Copper
 Vocabulary
 wave vw = ¦ l mechanical speed of waves in strings/ropes wavelength longitudinal compression rarefaction point source amplitude period (T) hertz frequency (f) vibration equilibrium position wavelength (l) atmospheric pressure period (T) vibration frequency (¦) relationship between frequency and wavelength (¦,l) relationship between frequency and period (¦,T) wave velocity (vw) standing wave-form for an open water column infrasonic human range of frequencies radio waves vs sound waves ultrasonic damped heat interference constructive destructive antinodes reflection nodes speed of sound (dry air) speed of sound increases with the medium's rigidity, temperature and humidity forced vibration natural frequency resonance fixed-end reflector loops free-end reflector echo reverberation
 Formulas
 vw = f l T = 1 / f d = r t speed of sound in dry air vw = 331 + 0.6 T open-open pipe rods only clamped at their centers fn = ( n + 1 ) fo for the fundamental A-N-A L = 1 loop = ˝ l open-closed pipe fn = ( 2n + 1 ) fo for the fundamental A-N L = ˝ loop = Ľ l clamped-clamped wire fn = ( n + 1 ) fo for the fundamental N-A-N L = 1 loop = ˝ l