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Shattering a
Glass with Sound
Quicktime
movie of the glass shattering demonstration (1 MB)
The "resonant" or "natural" frequency
of the goblet can be determined by "pinging" it and listening to the
pitch of the "ringing". By using a microphone and oscilloscope we can
determine this resonant frequency quite accurately. The goblet shown
in the movie had a resonant frequency of about 800 Hz (that is, 800
"cycles per second"). It is a rather ordinary goblet, costing about
$6.
We placed the goblet near a high
quality loudspeaker that was playing a note that very nearly matched
the goblet's resonant frequency. The volume on our audio amplifier
was turned up rather high. (The sound is annoyingly loud,
but not painfully
loud.)
The movie is not recorded in
slow motion; it is a
"real-time view" of the demonstration. We used stroboscopic
illumination (a very short pulse of light that flashes approximately
one per cycle) to slow down the apparent motion.
The apparent
frequency of the goblet's
vibration is equal to the difference between the goblet's actual
frequency of vibration (which is about 800 Hz) and the frequency at
which the strobe is flashing. In the sequence shown in the movie, the
actual vibration frequency of the goblet is changing slightly because
the note being played by the loudspeaker is gradually increasing in
pitch throughout the movie. This explains why the apparent frequency
of the goblet's vibration is decreasing during the movie. As the note
becomes closer in pitch to the goblet's resonant frequency, its
amplitude of vibration increases, much the way the amplitude of a
swing's motion increases when you pump your legs in synchrony with
the swings's resonant frequency. When we have tuned the note that the
loud speaker is playing to be sufficiently close to the goblet's
resonant frequency (within about 0.5 Hz), the amplitude becomes big
enough to cause the glass to shatter.
As you watch the movie it may amaze
you to consider that a "rigid" piece of glass is able to undergo the
motion you see 800 times a second for several seconds before
shattering!
Viewing tip: Try moving the slider slowly back and forth
so that you can see a "frame by frame" view of the goblet repeatedly
shattering and reconstructing.
Robbie Berg / Wellesley Physics Department
/rberg@wellesley.edu / March 1, 1998
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