Sound Waves, Pitch, Volume & Mediums: Fifth Grade Science

Sound is a mechanical form of kinetic energy that travels through matter as longitudinal compression waves produced by vibrating objects.

What is Sound?

Sound is a mechanical disturbance that travels through a physical medium (a solid, liquid, or gas). All sounds originate from physical vibrations. When you pluck a guitar string, strike a snare drum, or speak words, physical matter oscillates back and forth. These vibrations bump into adjacent air molecules, pushing them together and pulling them apart, sending acoustic wave pulses outward in all directions. Because sound relies on particles colliding with one another, sound cannot travel through the vacuum of empty space; in a vacuum where there are zero atoms, there is absolute silence.

+--------------------------------------------------------------------------+
|                  THE ANATOMY OF A LONGITUDINAL SOUND WAVE                |
|                                                                          |
|       COMPRESSION          RAREFACTION          COMPRESSION              |
|       (High Density)       (Low Density)        (High Density)           |
|       ||||||||||||         .  .  .  .  .        ||||||||||||             |
|       ||||||||||||         .  .  .  .  .        ||||||||||||             |
|       ||||||||||||         .  .  .  .  .        ||||||||||||             |
|                                                                          |
|       <------------ Wavelength (Distance between peaks) ----------->     |
+--------------------------------------------------------------------------+

Compressions and Rarefactions

Sound is a longitudinal wave, meaning that particles oscillate parallel to the direction the wave travels:
- Compressions are high-pressure zones where particles are pushed tightly together.

- Rarefactions are low-pressure zones where particles are spread farther apart.
As a sound wave propagates, individual particles do not travel across the room; instead, each particle simply bumps into its neighbor and bounces back, passing the acoustic energy along like a line of dominoes.

Pitch and Frequency

Pitch is how high or low a sound seems to the human ear. The musical note from a piccolo has a very high pitch, whereas the rumble of thunder or the roar of a tuba has a deep, low pitch. Pitch is determined entirely by the frequency of the sound wave.

+--------------------------------------------------------------------------+
|                  FREQUENCY AND PITCH RELATIONSHIP                        |
|                                                                          |
|       HIGH FREQUENCY / HIGH PITCH (Piccolo, Whistle)                     |
|       Wave: /\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\             |
|       - Many wave cycles per second (High Hertz rating)                  |
|       - Very short wavelength between wave peaks                         |
|                                                                          |
|       LOW FREQUENCY / LOW PITCH (Tuba, Bass Drum)                        |
|       Wave: /   \   /   \   /   \   /   \   /   \                   |
|       - Few wave cycles per second (Low Hertz rating)                    |
|       - Long wavelength between wave peaks                               |
+--------------------------------------------------------------------------+

Frequency Measured in Hertz

Frequency is the number of complete wave cycles (vibrations) that pass a fixed point in one second. Frequency is measured in the metric unit Hertz (Hz), where 1 Hz equals one vibration per second.
- High-frequency waves vibrate hundreds or thousands of times per second (e.g., 2,000 Hz), producing a high-pitched sound.

- Low-frequency waves vibrate only a few dozen times per second (e.g., 60 Hz), producing a deep, low-pitched sound.
The healthy human ear can detect sound frequencies ranging from approximately 20 Hz to 20,000 Hz. Frequencies above 20,000 Hz are called ultrasound (used by bats and dolphins for echolocation), while frequencies below 20 Hz are called infrasound (used by elephants and whales).

Volume, Amplitude, and Decibels

Volume (loudness) describes the human perception of sound energy. Whispering in a library produces a soft sound, while a jet engine taking off produces an ear-splitting roar. Volume is determined by the amplitude of the sound wave.

+--------------------------------------------------------------------------+
|                  AMPLITUDE AND VOLUME RELATIONSHIP                       |
|                                                                          |
|       HIGH AMPLITUDE (LOUD SOUND)                                        |
|             /|\                                                         |
|            / | \      High energy, tall wave peaks,                      |
|       ----+--+--+---- dense particle compressions                        |
|            \ | /                                                        |
|             \|/                                                         |
|                                                                          |
|       LOW AMPLITUDE (SOFT SOUND)                                         |
|            /-\                                                          |
|       ----+---+------ Low energy, short wave peaks,                      |
|            \-/        gentle particle compressions                       |
+--------------------------------------------------------------------------+

Amplitude and Decibels

Amplitude is the maximum distance vibrating particles move from their resting position. Plucking a guitar string violently imparts more kinetic energy, producing waves with taller amplitudes and louder volume. Sound intensity and volume are measured on a logarithmic scale in units called Decibels (dB):
- 0 dB: The threshold of human hearing.

- 30 dB: A soft whisper in a quiet room.

- 60 dB: Normal conversational speech.

- 90 dB: A lawnmower (prolonged exposure causes permanent hearing damage).

- 120 dB: A rock concert or police siren at close range (causes immediate pain).


Sound in Different Mediums

Because sound relies on physical particle collisions to travel, the density and elasticity of the medium dramatically affect the speed of sound.

+--------------------------------------------------------------------------+
|                     SPEED OF SOUND IN VARIOUS MEDIUMS                    |
+--------------------+---------------------+-------------------------------+
| Medium             | State of Matter     | Approximate Speed of Sound    |
+--------------------+---------------------+-------------------------------+
| Air (at 20°C)      | Gas                 | 343 meters per second         |
| Fresh Water        | Liquid              | 1,482 meters per second       |
| Hardwood (Oak)     | Solid               | 3,850 meters per second       |
| Steel Rail         | Solid               | 5,960 meters per second       |
| Outer Space Vacuum | No Medium (Empty)   | 0 m/s (Sound CANNOT travel!)  |
+--------------------+---------------------+-------------------------------+

Why Sound Travels Fastest Through Solids

In a solid, atoms are bound tightly together in a dense crystal lattice. When a particle begins vibrating, it bumps into its neighboring atom almost instantaneously. In a gas, particles are separated by vast empty distances, so a particle must travel a relatively long distance before colliding with another particle. Consequently, sound travels more than four times faster through water than through air, and more than seventeen times faster through steel than through air!

Exercises and Solutions

Exercise 1: Analyzing Sound Transmission in Outer Space. In many science fiction movies, spaceships explode in deep outer space with deafening, thunderous booms that rattle the theater. Explain why this movie scene is scientifically impossible using the physics of mechanical sound waves.

Solution 1: The movie scene is scientifically impossible because sound is a mechanical wave that requires a physical medium composed of matter (solid, liquid, or gas particles) to transmit energy through particle collisions. Deep outer space is an absolute cosmic vacuum, containing virtually zero atoms or molecules. Without matter to compress and expand into longitudinal waves, mechanical vibrations cannot propagate; therefore, any explosion occurring in deep space would happen in complete, absolute silence.

Exercise 2: Investigating Pitch Changes on a Stringed Instrument. A student observes a musician playing an acoustic guitar. The musician notices that tightening the tuning peg makes the plucked string sound higher in pitch. Furthermore, pressing a finger halfway down the fretboard to shorten the vibrating string also raises the pitch. Explain both observations using wave frequency and wavelength.

Solution 2: Tightening the tuning peg increases the mechanical tension of the guitar string, forcing the string fibers to snap back and oscillate faster when plucked, thereby increasing its vibration frequency (Hertz); higher frequency produces a higher perceived pitch. Similarly, pressing a finger on the fretboard shortens the active length of the vibrating string, which creates a shorter physical wavelength. Because wave speed equals frequency multiplied by wavelength, shortening the wavelength while maintaining string tension forces the frequency to increase, resulting in a higher musical pitch.