Why does a piece of chalk produce a squeal if you hold it incorrectly. What determines the pitch you hear?
Asked by: dr. grey
The squeal is produced as a result of the piece of chalk skipping along the blackboard.
piece of chalk is positioned in the angle in which the noise is produced, given an equal and
constant amount of pressure applied by the hand at certain points along the chalk, the chalk
'vibrates' thereby causing the chalk piece to bounce along the blackboard. Taking into
consideration the facts that the angle, the pressure and the application points remain constant,
the squeal is constant. It this could be practiced, the noise would be constant and fluid.
Rather, the noise is not constant and fluid because the angle, the pressure, or the application
point (specifically around a Z-axis) changes as the chalk is dragged along the board. This is a
normal motion considering that the application is the human hand that must change to conform the
the comfort level of the user rather than the comfort level of the chalk.
The pitch of the squeal
changes as a result of a change in the angle the chalk is dragged, the amount of pressure that is
applied, and/or the point(s) at which the pressure is applied. This can be proven by the fact that
if the chalk were place at a perpendicular (90 degree) angle to the blackboard, common to the
Z-axis, and given (for the sake of argument) 5 PSI of pressure, the chalk piece would skip along
the board at visible and measurable intervals. This assumes that the contact point for the chalk
is true to the board, and has not been altered from this position. As the chalk is varied from the
Z-axis (either favoring positive and/or negative X or Y values) the pitch of the chalk would
disappear until the point at which the new surface that contacts the board gains enough surface
area to which vibrations could start again. Obviously, given the apparent rigidity of the chalk
piece and assuming that malleiation is not an option, the pressure applied at the 90 degree angle
would be too much for the chalk's bending threshold and the piece would break. Therefore, if one
factor of the experiment is changed, the other two factors are automatically changed. Therefore,
the pitch that is produced will not resemble the original pitch produced.
A key factor in
determining why a certain pitch is or is not produced is based on the amount of surface area used
when running the test. A small surface area allows the chalk to be broken apart easily which
produces an extremely high audio wave inaudible to the human ear. Therefore, the contact point
varies with continual application. A large surface area, while able to make a noise, does not allow
for an audible noise based on the extremely low frequency of the audio wave produced. The SIN's
(or COS's wave, depending on how you look at it) peaks are so far apart that your ear cannot
process it. Therefore the contact point does not change rapidly. Theoretically, if the wide
surface area test is run long enough, an audio wave will be produced that can be heard.. In
conclusion, when one is holding the chalk 'incorrectly,' they are rather holding the chalk
perfectly, only now acutely aware of it.
Answered by: Bob Yarem, Normal person (I'm not a professor or anything)
'A theory with mathematical beauty is more likely to be correct than an ugly one that fits some experimental data. God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.'