The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe that is open at both ends. Assume the speed of sound is 343 m/s. a. Find the frequency of the lowest note a piccolo can play (all holes are blocked). b. Find next three resonant modes of the piccolo when all the holes are blocked. c. Draw diagrams of lowest 4 resonant modes, labeling all nodes and antinodes.
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
The overall length of a piccolo is 32.0 cm. The resonating air column vibrates as in a pipe that is open at both ends. Assume the speed of sound is 343 m/s.
a. Find the frequency of the lowest note a piccolo can play (all holes are blocked).
b. Find next three resonant modes of the piccolo when all the holes are blocked.
c. Draw diagrams of lowest 4 resonant modes, labeling all nodes and antinodes.
d. Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 4 000 Hz, find the distance between adjacent antinodes for this mode of vibration.
Hint: The ends of the piccolo are antinodes in air movement.
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