Final answer:
To find the total power received by your ear, use the formula Power = Intensity x Area, where the intensity is the sound intensity level converted to intensity in watts per meter squared. Calculate the area of your ear using the given effective radius, and substitute the values into the formulas to find the total power.
Step-by-step explanation:
The total power received by your ear can be calculated using the formula:
Power = Intensity x Area
Where the intensity is the sound intensity level converted to intensity in watts per meter squared. The formula to convert sound intensity level to intensity is:
Intensity = (10^(sound intensity level in dB/10)) x 10⁻¹²
Given that the effective radius of your ear is approximately 2 cm, you can calculate the area as:
Area = πr²
Substituting the values into the formulas, you can find the total power received by your ear.