(6%) Problem 7: The softest sound a human ear can hear is at 0 dB (1-1012 wm2) S

Question

(6%) Problem 7: The softest sound a human ear can hear is at 0 dB (1-1012 wm2) Sounds above 130 dB cause pain. A particular student's eardrum has an area of 4 59 mm2 Randomized Variables A 59 mm2 50% Part (a) What is the most power, in watts, the ear can receive before the listener feels pan? Grad max Poten Subm Attem (596 E cotan0 asin acos0 atan0 acotan sinhO cosh0 tanh cotanh0 detail Degrees Radians Submit ixni Igive up! Hints: 206 deduction per hint. Hints remaining:- Feedback: 2% deduction per feedback. -? 50% Part (b) What is the smallest power, in watts, the ear can detect?

Explanation / Answer

a) beta = 10 log (I/I0)

130 = 10 log (I/10-12)

I = 10 W/m2

Pmax = I A = 10 * 59 * 10-6

= 59 * 10-5 W

b) Pmin = 10-12 * 59 * 10-6

= 5.9 * 10-17 W

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