Discussion
Resonance
Sound waves traveling through the air or other mediums
sometimes affect the objects that they encounter. Recall that sound is caused
by the molecules of a medium vibrating. The molecules vibrate at a specific
frequency for each source, called its natural frequency. Steel, brass,
and wood all have different natural frequencies.
Occasionally, objects vibrating at their natural
frequencies will cause resonance. Resonance is when objects with the
same natural frequency as the vibrating source also begin to vibrate. Resonance
does not happen very often and only affects object close to the vibrating source.
Sometimes, the effects of resonance can be powerful. A singer can make glass
vibrate enough to shatter, just by singing a note with the glasss natural
frequency!
Changing Pitch
A string vibrates with a particular fundamental
frequency. It is possible, however, to produce pitches with different frequencies
from the same string. The four properties of the string that affect its frequency
are length, diameter, tension, and density. These properties are described below:
- When the length of a string is changed,
it will vibrate with a different frequency. Shorter strings have higher frequency
and therefore higher pitch. When a musician presses her finger on a string,
she shortens its length. The more fingers she adds to the string, the shorter
she makes it, and the higher the pitch will be.
- Diameter
is the thickness of the string. Thick strings with large diameters vibrate
slower and have lower frequencies than thin ones. A thin string with a 10
millimeter diameter will have a frequency twice as high as one with a larger,
20 millimeter diameter. This means that the thin string will sound one octave
above the thicker one.
- A string stretched between two points, such as
on a stringed instrument, will have tension. Tension refers to how
tightly the string is stretched. Tightening the string gives it a higher frequency
while loosening it lowers the frequency. When string players tighten or loosen
their strings, they are altering the pitches to make them in tune.
- The density of a string will also affect
its frequency. Remember that dense molecules vibrate at slower speeds. The
more dense the string is, the slower it will vibrate, and the lower its frequency
will be. Instruments often have strings made of different materials. The strings
used for low pitches will be made of denser material than the strings used
for high pitches.
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