PhysicsLAB

Review Sheet
Standing Waves / Resonance


Web Resources

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



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 =
l
clamped-clamped wire   fn = ( n + 1 ) fo for the fundamental
N-A-N
L = 1 loop =
l