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9780 - Week 2 - Sound Waves

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Week: 2.

Class: SS 2

Subject: Physics.

Topic: Sound waves.

Noise and music: Sound can be classified into noise and musical notes. Noise is due to
vibrations of irregular frequency such as the rattling of a wheel on a rough road.

Music is produced by vibrations of regular or constant frequency.

Characteristics of musical note are as follows: pitch, loudness, and quality.

Pitch of a note is its position on the musical scale. It is the degree of highness or lowness of
sound as perceived by the listener. Pitch depends on frequency.

Loudness is the magnitude of the sensation resulting from a sound reaching the ear. It
depends on the amplitude of vibration of the body.

Intensity is the rate of flow of sound energy per unit area perpendicular to the direction of
propagation of the sound waves.

Quality or Timbre is a characteristic note of a musical instrument which distinguishes it


from another note of the same pitch and loudness produced by another instrument. It
depends on the overtones accompanying the fundamental note. Like light, sound waves
can be reflected, refracted, diffracted and also show their interference phenomenon.

Echoes : echo is a sound heard after the reflection of sound waves from a plane surface.
Reverberation is the perseverance of the sound after the source ceases. It is due to
multiple reflection or echo of the original sound.

Application/Uses of echoes are as follows:

1. The determination of the velocity of sound.


2. The determination of the depth of sea beds
3. In oil and gas exploration
4. In sub marines.
The formulae is given as t= 2x÷v, where x = distance between the source of sound and
the reflecting surface. V= velocity of sound in air medium (air, water,glass, metal etc).

Example: A man standing 510m away from a wall sounds a whistle, the echo from the
wall reaches him 3seconds later. Calculate the velocity of sound in air. (NECO 2000)

Solution:

Distance x= 510m

echo t =3s,

velocity v =?

Using the formulae: t =2x÷v

vt =2x,

v =2x÷t = 2× 510÷3

=1020÷3

=340m/s.

Forced vibrations : vibrations that result from an external periodic force acting on a system
and setting vibrating at the same frequency as the external periodic force.

Resonance : is a phenomenon which occurs whenever a particular body or system is set in


oscillation at its own natural frequency as a result of impulses or signals received from some
other systems or body which is vibrating with the same frequency.

Harmonics : are whole number multiples of the fundamental frequency fo is the first
harmonic, 2fo,3fo etc are the second and third harmonics.

Overtones: are the next higher frequencies produced after the fundamental frequency by a
vibrating body overtone may or may not be harmonics of the fundamental. Stationary waves
are produced when two waves with the same frequency and amplitude travelling in opposite
directions are superposed. Nodes are points on a stationary waves which are at rest.
Antinodes are points where the amplitude of vibration is maximum.

Vibration of Strings: the length L of the string is equal to wavelength ÷2 ,

wavelength = 2L for a sound wave


v= wavelength ×frequency f and

frequency = velocity ÷wavelength.

Substitute wavelength =2L

fo = v÷2L

Example : find the frequency of the first harmonic of a piano string of length 1.5m. If the
velocity is 120m/s

Solution:

first harmonic L wavelength ÷2 ,

wavelength =2×L

frequency f =velocity ÷wavelength

= 120÷2×1.5

=120÷3

=40Hz .

Class work: find the second and third harmonics.

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