Find the number of decibels for the power of the sound. Round to the nearest decibel.
A rock concert, 5.19 10-6 watts/cm2
D= ? db
Hint: dB = 10 log (I/Io) where
I = intensity in W/m^2
Io = Threshold of hearing (use 10^-12 W/m^2)
Convert 5.19*10^-6 W/cm^2 to W/m^2 and apply the formula.
step 1 D=log 5.19*10^-6watts/cm2/10^16
step 2 10log(5.19*10^-6*10^16)
step 3 (log5.19)=.7151673
step 4 ^16-^-6=10
step 5 log10^10=10
step 6 10(.7151+10)
Answer 107 dm
hard to explain but that should be your answer
A rock concert, 5.3 x 10^6 watts/ cm^2
To find the number of decibels (db) for the power of the sound, you can use the formula:
D = 10 * log10(P/P0)
Where:
D is the number of decibels,
P is the power of the sound in watts/cm^2,
P0 is the reference power in watts/cm^2 (usually 10^-12 watts/cm^2).
In this case, the power of the sound (P) is given as 5.19 * 10^-6 watts/cm^2.
Using the formula, we can calculate the number of decibels:
D = 10 * log10(5.19 * 10^-6 / 10^-12)
Step 1: Simplify the expression inside the logarithm:
D = 10 * log10(5.19 * 10^6)
Step 2: Take the logarithm base 10:
D = 10 * 6.7160
Step 3: Multiply to get the answer:
D ≈ 67.16
Rounding to the nearest decibel, the number of decibels for the power of the sound is approximately 67 dB.