Suppose a sound of frequency 1200 Hz is emitted from a speaker 15 meters away from you. At YOUR location, the intensity is 1.0E-7 W/m2. Let me assume your eardrum has area 8E-5 m2. If the sound continues for 20 seconds, what total amount of energy is received by your ear?
Find your answer in Joules, but do not enter units.
To find the total amount of energy received by your ear, we can use the formula:
Energy = Intensity x Time x Area
First, let's calculate the energy received per second:
Energy per second = Intensity x Area
Energy per second = (1.0E-7 W/m^2) x (8E-5 m^2)
Energy per second = 8E-12 W
Now, to find the total energy received over 20 seconds, we can multiply the energy per second by the time:
Total energy = Energy per second x Time
Total energy = (8E-12 W) x (20 s)
Total energy = 1.6E-10 J
Therefore, the total amount of energy received by your ear is 1.6E-10 Joules.