The loudest sound measured one night during a hockey game was 112 dB. The loudest sound measured during a hockey game the next night was 118 dB. What fraction of sound intensity of the second game was the sound intensity of the first game?
I believe the physics formula for comparisons of sound intensity in decibels is
10^(112/10) / 10^(118/10)
= 10^11.2 / 10^11.8
= 10^-.6
= .2511...
or appr 1/4 of the intensity
0.99
To find the fraction of sound intensity of the second game compared to the first game, we need to divide the second sound intensity by the first sound intensity.
First, let's assign variables:
Sound intensity of the first game: 112 dB
Sound intensity of the second game: 118 dB
To find the fraction, we divide the second sound intensity by the first sound intensity:
Fraction of sound intensity = (Sound intensity of the second game) / (Sound intensity of the first game)
Fraction of sound intensity = 118 dB / 112 dB
Simplifying the fraction, we get:
Fraction of sound intensity = 1.05357
Therefore, the fraction of sound intensity of the second game compared to the first game is approximately 1.05357.
To determine the fraction of sound intensity of the second game compared to the first game, we need to calculate the ratio of the two sound intensities.
Sound intensity is measured in decibels (dB), which is a logarithmic scale. This means that each increment of 10 dB represents a tenfold increase in sound intensity.
In this case, the first game had a sound intensity of 112 dB, and the second game had a sound intensity of 118 dB. The difference between the two sound intensities is 118 dB - 112 dB = 6 dB.
Since each increment of 10 dB represents a tenfold increase in sound intensity, we can calculate the fraction by converting the 6 dB difference into a fraction.
The fraction can be calculated using the formula:
Fraction = 10^(dB difference / 10)
Plugging in the values:
Fraction = 10^(6 / 10)
= 10^0.6
Using a calculator, we find that 10^0.6 is approximately equal to 3.981.
Therefore, the fraction of sound intensity of the second game compared to the first game is approximately 3.981.