Newton's Third
Law and The Secret Physics of Drumming
* Written by: Maeve M Johnson
Dating back to
4000 BC in Egypt, drums are the oldest known instrument in the world. Not only
have people been using drums for a long time, but Macaque monkeys also use
drumming to show dominance and communicate.
Drums have been used all over the
world as a means of communication or a way to create music. People who play the
drums heavily rely on the physics behind them, but many people never truly
realize how much newton's third law takes place in their activity.
When a
person plays drums, to simply put it, they are just hitting drums in different
ways at different times. The main thing they are doing is bouncing a stick, a
hand, a mallet or something similar off of a drum. Without being able to bounce
something off the drum, drumming would be drastically different, or even
non-existent in this day and age.
Both the
sticks, mallets, hands, etc., and the makeup of the drum itself have major
roles in the physics of drumming. For example, without Newton's Third Law, the
drumstick would never bounce off the drum, leaving drums having a dull and
bland smacking noise.
Newton's Third Law states that every action has an equal
and opposite reaction. The action would be the sticks hitting the drum, and the
equal and opposite reaction are the sticks bouncing off the drum. As the sticks
push against the drumhead, the drumhead also pushes against the sticks with an
equal and opposite force, leaving the drum resonating with sound and the sticks
back up in the air.
This is possible because of the tension in the circular
membrane of the drumhead. The tension makes it easier for the sticks to apply more
force to the drumhead and make a louder sound while being pushed back up to hit
again. Different drums also have different ways they need to be hit. For
example, the snare drum needs to be hit in the center, whereas the timpani drum
needs to be hit near the sides.
The ideal
circular membrane has a fundamental frequency of ƒ1=0.765((√ T/σ)/D), where ƒ =
frequency, T = membrane tension, σ = mass per unit, and D = the
diameter of membrane.
With this ideal frequency, it is easiest and most
efficient to hit the drumstick off of the drum. Leading back to Newton's Third
Law, when it is most efficient to hit the drumstick off of the drumhead the
forces of the sticks and the drum are completely equal and the drum leaves a
resonating sound as the stick goes back up the be used to hit the drum again.
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