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1- 2- One of the main things allowing humans to determine whether a sound is com

ID: 1283915 • Letter: 1

Question

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One of the main things allowing humans to determine whether a sound is coming from the left or the right is the fact that the sound will reach one ear before the other. Given that the speed if sound in air is 343 m/s and that human ears are typically 20.0 cm apart, what is the maximum time resolution for human hearing that allows sounds coming from the left to be distinguished from sounds coming from the right? Please include a multiplication sign (*) to indicate that two units are being multiplied. The maximum time resolution for human hearing is tmax = Why is it impossible for a diver to be able to tell from which direction the sound of a motor boat is coming? The speed of sound in water is 1.50 103m/s. Please include a multiplication sign (*) to indicate that two units are being multiplied. In water, the resolution time is tmax = The displacement from equilibrium caused by a wave on a string is given by y(x,t) = (-0.00465 m)sin[(43.5 m-1)x - (349 s-1)t].

Explanation / Answer

1)Time resolution=d/v=0.2/343=5.83*10^-4s

In water, time resolution=d/v'=0.2/1500=1.33*10^-4s

Clearly the time resolution is very less making it difficult to differentiate the direction of sound.

2)a)A=0.00465m

b)k=2pi/lamda=43.5

lamda=0.1444m

Waves/m=1/0.1444=6.92

c)2pi*f=349

f=349/(2pi)=55.55Hz or cycles/s

d)lamda=0.1444m

e)speed=f*lamda=55.55*0.1444=8.02m/s