Question

NO LINKS!!! Please help fill in the blanks. Part 10a.​

Answer 1

Sound level is measured in decibels (dB).

The equation
`\beta = 10\log\left((I)/(I_0)\right)`, where
`I_0` is the intensity of the threshold sound a human can hear (
`10^(-12)`
`\text{watts}`/
`\text{meter}^2`) and
`I` is the intensity of the sound being measured, gives the sound level,
`\beta`

Example:

What was the intensity of the launch of NASA's Saturn V rocket, about 200 dB?

`\beta = 10\log\left((I)/(I_0)\right)\\\\\text{Substitute.} \ 200 = 10\log\left((I)/(10^(-12))\right)\\\\\text{Isolate the log.} \ 20 = \log\left((I)/(10^(-12))\right)\\\\\text{Rewrite into exponential form.} \ (I)/(10^(-12)) = 10^(20)\\\\\text{Solve for the variable}\\ \ I = (10^(20))(10^(-12)) = 10^8 = 100,000,000 = \text{100 million watts/}m^2`