A fan at a rock concert is 50.0{\ m m} from the stage, and at this point the sou

Question

A fan at a rock concert is 50.0{ m m} from the stage, and at this point the sound intensity level is 109{ m dB} . Sound is detected when a sound wave causes the tympanic membrane (the eardrum) to vibrate . Typically, the diameter of this membrane is about 8.40{ m mm} in humans

Part A
How much energy is transferred to her eardrums each second ? Answer in uJ

Part B
How fast would a 2.00{ m mg} mosquito have to fly to have this much kinetic energy? Answer in m/s

Part C
How fast a typical 2.0 { m mg} mosquito would have to fly (in { m mm}/{ m s}) to have an amount of energy delivered to the eardrum each second when someone whispers (20 { m dB}) a secret in your ear?
Answer in mm/s

Part D
Compare the mosquito's speeds found in parts (B) and (C). answer in v'

Explanation / Answer

The intensity of the sound is ß = 10dB*log(I/10^-12) so I = 10^-12*10^(ß/10) = 10^-12*10^(110/10) = 1.0x10^-1W/m^2 So the power at the eardrum = I*A = 1.0x10^-1W/m^2 *p*(4.2x10^-3m)^2 = 5.54x10^-6J/s so the fan receives 5.54x10^-6J every second in each eardrum

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