Find the number of decibels for the power of the sound given. Round to the nearest decibel.
A rocket engine, 2.65 times 10^-5 watts/cm^2
To find the number of decibels for the power of the sound given, we can use the formula:
dB = 10 * log10(P / P0)
Where dB is the number of decibels, P is the power of the sound, and P0 is the reference power level.
In this case, the power of the sound is given as 2.65 times 10^-5 watts/cm^2. However, we need to convert this value to a reference power level.
The reference power level, P0, is the threshold of hearing, which is commonly defined as 10^-12 watts/cm^2. Therefore, we need to divide the given power by the reference power level to get the decibels.
dB = 10 * log10((2.65 * 10^-5) / (10^-12))
Simplifying the expression:
dB = 10 * log10(2.65 * 10^7)
Now, calculate the logarithm:
dB = 10 * 7.42477796
Finally, round the result to the nearest decibel:
dB ≈ 74.25 decibels
Therefore, the number of decibels for the power of the sound given is approximately 74.25 decibels.