Question

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

Answer 1

Sound level is measured in  decibels   (dB).

The equation $\beta = 10\log\left(\frac{I}{I_0}\right)$, 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?

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