standing waves Flashcards
what are standing waves?
when 2 waves with the same λ and speed travel in opposite directions, through the same medium simultaneously.
progressive wave
- every particle is displaced by the same distance
- progressive waves move forward (progress) with a certain wave velocity)
standing wave displacement
the displaced particles vary from zero (nodes) to a maximum of 2A (antinodes)
-standing waves don’t progress (move forward)
how are standing waves an example of resonance
-moving back and forth simultaneousy –>orderly pattern produced
transverse standing waves
think of a stretched wire
–>all harmonics are possible
λ/2 (half a wavelength)
fundamental/1st harmonic
-lowest possible frequency in which a system can vibrate in
λ2 (one wavelength)
first overtone/2nd harmonic
-as its the first note above the fundamental, but the second wave
2
3rd harmonic/2nd overtone
(2nd note above the fundamental
longitudinal standing wave
produced when sound waves are reflected from the end of a closed pipe
closed pipe: λ4
fundamental/1st harmonic
closed pipe: 3λ2/4
3rd harmonic/1st overtone
no second harmonic in a closed pipe
CLOSED PIPE 5λ3/4
5th harmonic, 2nd overtone
in a closed pipe?
only odd harmonics are possible
in an open pipe?
all harmonics are possible
how do waves reflect at the open ends of an open pipe?
they reflect wherever there is a change in medium