Problem: A student standing in a canyon yells "echo", and her voice produces a sound wave of the frequency of f= 0.55 kHz. The echo takes t = 4.5 s to return to the student. Assume the speed of sound through the atmosphere at this location is v=324 m/s.Randomized variables: f = 0.55 kHzt = 4.5 sv = 324 m/sHow many wavelengths are between the student and the wall?

FREE Expert Solution

Number of wavelengths, N = d/λ

d = vt/2 = (324)(4.5)/2 = 729 m

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Problem Details

A student standing in a canyon yells "echo", and her voice produces a sound wave of the frequency of f= 0.55 kHz. The echo takes t = 4.5 s to return to the student. Assume the speed of sound through the atmosphere at this location is v=324 m/s.

Randomized variables: 

f = 0.55 kHz

t = 4.5 s

v = 324 m/s

How many wavelengths are between the student and the wall?