The number of decibels β of a sound with an intensity of I watts per square meter is given by β = 10 log(I/I0), where I0 is an intensity of 10−12 watt per square meter, corresponding roughly to the faintest sound that can be heard by the human ear. Due to the installation of a muffler, the noise level of an engine was reduced from 87 to 69 decibels. Find the percent decrease in the intensity level of the noise as a result of the installation of the muffler. (Round your answer to the nearest whole number.)
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
Use the following information for determining sound intensity. The number of decibels β of a sound with an intensity of I watts per square meter is given by
where
is an intensity of
per square meter, corresponding roughly to the faintest sound that can be heard by the human ear.
Due to the installation of a muffler, the noise level of an engine was reduced from 87 to 69 decibels. Find the percent decrease in the intensity level of the noise as a result of the installation of the muffler. (Round your answer to the nearest whole number.)
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