From sound to hearing
Definition
Sound wave
A longitudinal mechanical wave produced by a vibrating source and carried through a medium as a series of compressions and rarefactions.
- A vibrating source pushes and pulls nearby particles in a medium.
- The particles oscillate parallel to the direction of energy transfer, producing alternating compressions and rarefactions.
- The particles transfer the disturbance to neighbouring particles, so energy travels through the medium without the medium moving overall.
- Sound cannot travel through a vacuum because there are no particles to pass on the vibration.
Sound and solid vibrations
Definition
Frequency
The number of complete waves or oscillations passing a point each second.
- When sound reaches a solid surface, changing pressure exerts an alternating force on it and can make it vibrate.
- A vibrating solid can also push and pull the surrounding medium, converting its vibration into a sound wave.
- The frequency of the sound wave matches the frequency of the source vibration.
- A larger vibration amplitude usually produces a sound wave with a larger amplitude and a greater intensity.
The human ear
- The pinna collects sound and channels it through the ear canal.
- Pressure variations make the eardrum vibrate at the sound frequency.
- The three ossicles transfer the vibration through the middle ear and increase the pressure applied to the oval window.
- Movement at the oval window produces pressure waves in the fluid of the cochlea.
- Different regions of the cochlea respond most strongly to different frequencies.
- Sensory hair cells bend and convert the mechanical disturbance into electrical impulses.
- The auditory nerve carries these impulses to the brain, where they are interpreted as sound.
A limited frequency range
- A structure responds effectively only over a limited frequency range because its mass, stiffness and damping affect how easily it can vibrate.
- At some frequencies the response amplitude is large, while very low or very high frequencies produce a weaker response.
- The combined response of the eardrum, ossicles, cochlea and hair cells limits normal human hearing to roughly 20 Hz20\ \text{Hz}20 Hz to 20 000 Hz20\,000\ \text{Hz}20000 Hz.
- The upper limit usually falls with age and after exposure to intense sound.
Example
Linking pitch to vibration
- A loudspeaker cone completes 750750750 vibrations in 0.50 s0.50\ \text{s}0.50 s.
- Its frequency is f=7500.50=1500 Hzf=\dfrac{750}{0.50}=1500\ \text{Hz}f=0.50750=1500 Hz.
- The sound wave and the eardrum vibrate at 1500 Hz1500\ \text{Hz}1500 Hz, so the frequency is within the normal human hearing range.
Exam technique
- For an ear question, follow the energy transfer in order: sound wave, eardrum, ossicles, oval window, cochlear fluid, hair cells, auditory nerve.
- Use the word converts only when the form of the disturbance changes, such as a mechanical vibration becoming an electrical impulse.
Common Mistake
- Do not say that air particles travel from the source to the ear; they oscillate about fixed positions.
- Do not confuse frequency with amplitude: frequency affects pitch, whereas amplitude is linked to loudness.
Self review
- How does a vibrating source produce a sound wave?
- Why can sound not travel through a vacuum?
- What sequence transfers a vibration from the eardrum to the cochlea?
- How do hair cells contribute to hearing?
- Why does the ear work over only a limited frequency range?