The noise from a power mower was measured at 108 dB. The noise level at a rock concert was measured at 119 dB. Find the ratio of the intensity of the rock music to that of the power mower. (Round your answer to the nearest whole number.)
I tried by 108-119 =-11 but then I did 10^-11 and I got a weird answer so, I am having trouble trying ti figure this problem out step by step.
Well, well, well! Looks like we have a noisy situation here! Let's calculate the ratio of the intensity of the rock music to that of the power mower.
The formula to calculate the ratio of the intensity of sound is:
Ratio = 10^((dB1 - dB2)/10)
Where dB1 is the higher decibel value (in this case, 119 dB at the rock concert) and dB2 is the lower decibel value (in this case, 108 dB for the power mower).
So, plugging in the values:
Ratio = 10^((119 - 108)/10)
Ratio = 10^(11/10)
Now, since we want the ratio rounded to the nearest whole number, let me do the math for you:
Ratio = 13
So, the ratio of the intensity of the rock music to that of the power mower is approximately 13.
To find the ratio of the intensity of the rock music to that of the power mower, you need to convert the difference in decibels into a ratio.
The formula to convert decibels to a ratio is as follows:
Ratio = 10^(dB difference/10)
In this case, the dB difference is 119 - 108 = 11 dB.
So, the ratio of the intensity of the rock music to that of the power mower is:
Ratio = 10^(11/10)
Now, let's calculate this step-by-step:
Step 1: Divide the dB difference by 10:
11/10 = 1.1
Step 2: Raise 10 to the power of the result:
10^1.1 = 12.589
Therefore, the ratio of the intensity of the rock music to that of the power mower is approximately 12.589. Rounded to the nearest whole number, the ratio is 13.
To find the ratio of the intensity of the rock music to that of the power mower, we need to use the formula for the decibel (dB) scale.
The decibel scale is logarithmic, so the ratio of intensities can be found using the formula:
Ratio of Intensity = 10^((dB2 - dB1) / 10)
In this case, dB1 represents the noise level of the power mower (108 dB) and dB2 represents the noise level of the rock concert (119 dB).
So, the ratio of the intensity of the rock music to that of the power mower can be found using:
Ratio of Intensity = 10^((119 - 108) / 10)
Let's solve it step by step:
Step 1: Calculate the difference in dB levels.
dB2 - dB1 = 119 - 108 = 11
Step 2: Divide the difference by 10.
11 / 10 = 1.1
Step 3: Take the power of 10 of the result.
10^(1.1) ≈ 12.589
Step 4: Round the result to the nearest whole number.
Rounding 12.589 to the nearest whole number gives 13.
Therefore, the ratio of the intensity of the rock music to that of the power mower is approximately 13.
In the first place, you have your ratio backwards.
119-108 = 11 dB
So, the intensity is 10^1.1 = 12.6 times as much.