In: Physics
Two sound waves (call them X and Y) travel through the air. Wave X has a wavelength of 0.1 m and a pressure amplitude of 0.04 Pa. Wave Y has a frequency of 3430 Hz and a pressure amplitude of 4 Pa.
Fill in the following:
The intensity of Y is greater than that of X by
............... times.
Soundwave Y is ................. dB louder than soundwave X.
Well,
the speed of the sound in air is 343 m/s
by using the wave equation, v = f * lambda
f = v/ lambda
fx = 343 / 0.1 = 3430 Hz
y = 343 / 3430 =
0.1
So intensities are,
X = 0.04/(0.1/3430) = 1372Pa/m^2
Y = 4/(0.1/3430) = 137200Pa/m^2
Therefore,
The intensity of Y is greater than that of X by 100 times.
Loudness is the characteristic of a sound that is primarily a
psychological correlate of physical strength (amplitude). More
formally, it is defined as "that attribute of auditory sensation in
terms of which sounds can be ordered on a scale extending from
quiet to loud".
Loudness, a subjective measure, is often confused with objective
measures of sound strength such as sound pressure, sound pressure
level (in decibels), sound intensity or sound power. Filters such
as A-weighting attempt to adjust sound measurements to correspond
to loudness as perceived by the typical human. However, loudness
perception is a much more complex process than A-weighting.
Loudness is also affected by parameters other than sound pressure,
including frequency, bandwidth and duration.