Find the number of decibels for the power of the sound given. Round to the nearest decibel.
A rocket engine,
2.64 cross product 10−5
watts/cm2
To find the number of decibels for the power of the sound, we need to use the formula for decibel (dB) calculations:
dB = 10 * log10(power ratio)
Where power ratio is the ratio of the sound power (in watts/cm2) to the reference power, which is generally the threshold of human hearing (approximately 10-12 watts/cm2).
Given that the power of the sound is 2.64 cross product 10−5 watts/cm2, we can calculate the power ratio as follows:
power ratio = (2.64 cross product 10−5) / (10^-12)
Now, let's calculate it:
power ratio = (2.64e-5) / (1e-12)
power ratio = 2.64e7
Next, we can substitute the power ratio into the decibel formula:
dB = 10 * log10(2.64e7)
Now, let's calculate the decibels using a scientific calculator or math software:
dB ≈ 70.04
Rounding the result to the nearest decibel, we get approximately 70 decibels.