The radius of one woman\'s eardrum is 3.6 mm. (a) Find the energy per second rec

Question

The radius of one woman's eardrum is 3.6 mm. (a) Find the energy per second received by hereardrum when she listens to sound that is at the threshold ofhearing. ( W)
(b) Find the energy per second received by her eardrum when shelistens to sound that is at the threshold of pain. (W)
(a) Find the energy per second received by hereardrum when she listens to sound that is at the threshold ofhearing. ( W)
(b) Find the energy per second received by her eardrum when shelistens to sound that is at the threshold of pain. (W)

Explanation / Answer

The threshold of hearing is theintensity I0 = 10-12W/m2. Multiply that by the area of the eardrum (inSI units) to get the power (energy per unit time).

The threshold of pain is often given as 120dB (check yourtextbook to verify it uses this figure). First find theintensity I of this sound using the formula = 10dBlog10(I/I0) where in this example is120dB and I0 is as above. Multiply this intensityby the area of the eardrum (again in SI units) to find thepower.

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