All sounds are produced by the vibration of matter All sounds are produced by the vibration of matter. If there is no vibration, there is no sound.

Sonic spectrum - frequency range over which longitudinal waves occur.

A wave is not transported by a medium in which the wavelength is small compared to the inter-particle spacing of the medium.

Sound - range of compression-wave frequencies to which the human ear is sensitive.

This audio spectrum extends from approximately 20 to 20,000 hertz.

Frequencies above the audio range are ultrasonic Frequencies above the audio range are ultrasonic. Frequencies below are infrasonic.

Sound waves are longitudinal waves. (Compressions and rarefactions.)

To produce sound waves, there must be a source of mechanical disturbance and an elastic medium.

Sound does not travel through a vacuum. (In space no. one can hear Sound does not travel through a vacuum. (In space no one can hear you scream)

The speed of sound in air at 0° C is 331. 5 m/s The speed of sound in air at 0° C is 331.5 m/s. This speed increases with temp. about (0.6 m/s)/C°.

Speed of sound in water is about four times that in air Speed of sound in water is about four times that in air. It is even faster in some solids.

Factors that affect sound speed: 1) temperature, 2) density, 3) elasticity.

The Doppler Effect is the apparent change in frequency of a wave due to the relative motion of the source and the listener.

Doppler Effect - apparent change in pitch when a sound maker or listener are moving with respect to each other.

If the two are approaching one another (due to the motion of either or both), there is a shift to a higher frequency.

If the two are moving away from one another, the listener receives a frequency lower than that produced by the source.

This apparent shift of frequency is demonstrated by all types of waves, not just by sound.

Source moving toward stationary listener: Source moving toward stationary listener: f’ = f[ 1/(1 - vs/v)] Source moving away from stationary listener: f’ = f[ 1/(1 + vs/v)]

listener moving toward stationary source: listener moving toward stationary source: f’ = f(1 + vO/v) listener moving away from stationary source: f’ = f(1 - vO/v)

Three physical properties of sound: intensity, frequency, and harmonic content.

The effects of these on the ear are : loudness, pitch, and quality.

The intensity of a sound is the time rate at which the sound energy flows through a unit area normal to the direction of the propagation.

I = P / A P is power in watts. A is area in square. meters I = P / A P is power in watts. A is area in square meters. I is intensity in watts/ meter2.

The intensity of a sound in a uniform medium is inversely proportional to the square of its distance from the point source.

Loudness depends on an auditory sensation in the consciousness of a human listener.

At 1000 Hz, the intensity of the average faintest audible sound (the threshold of hearing) is 10-12 W/m2.

Relative intensity is calculated by this equation: Relative intensity is calculated by this equation: ß = 10 log I / Io ß is the relative intensity in decibels, I is the intensity of the sound, and Io is the threshold of hearing.

0 decibels means the sound intensity is at the threshold of human hearing, not that the intensity is zero.

The power of a sound wave is measured in watts W The power of a sound wave is measured in watts W. The intensity I of a wave is the power per unit area, W/ m2.

Ex 7 - 12 x 10-5 W of sound power passes perpendicularly through two surfaces; one of area 4.0 m2 and the other of area 12 m2. Find each sound intensity.

10-12 W/m2 is the threshold of hearing. (for humans)

For spherically uniform radiation of sound: I = P/ 4πr2.

A small source uniformly emits sound energy at a rate of 2. 0 W A small source uniformly emits sound energy at a rate of 2.0 W. Calculate the relative intensity at 34 m from the source.

A jet plane is found to have a relative intensity upon takeoff of 110 dB. Calculate the intensity of the sound the jet makes.

The threshold of pain is the upper intensity level for audible sounds The threshold of pain is the upper intensity level for audible sounds. Above this level pain is produced rather than hearing.

When a vibrating object is put in contact with another object, the vibrating object can force the other object to vibrate at the same frequency, increasing amplitude.

These are called forced vibrations.

All objects that vibrate do so at a certain frequency (or frequencies) called the natural frequency.

This is the frequency where minimum energy is required to cause forced vibrations, and: the least amount of energy is required to continue the vibration.

When the sound produced by one object causes another object to vibrate at its natural frequency it is called resonance, or sympathetic vibrations.

Resonance occurs when the natural vibration rates of of two objects are the same or when the vibration rate of one is equal to one of the harmonics of the other.

Because of resonance soldiers “break step” when crossing bridges Because of resonance soldiers “break step” when crossing bridges. Some bridges have signs that say “No galloping horses” for the same reason.