Problem: The equation of a transverse wave traveling along a very long string is given by y = 6.8 sin(0.023πx + 3.2πt), where x and y are expressed in centimeters and t is in seconds. Determine the amplitude.

FREE Expert Solution

A general wave solution has the form:

y(x,t)=A sin (kx + ωt)

A is the amplitude, k is the wave constant and ω is the angular frequency.

Wave constant:

k=2πλ

Angular frequency:

ω=2πf

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Problem Details

The equation of a transverse wave traveling along a very long string is given by y = 6.8 sin(0.023πx + 3.2πt), where x and y are expressed in centimeters and t is in seconds. Determine the amplitude.