Two waves traveling on a string in the same direction both have a frequency of 1

Question

Two waves traveling on a string in the same direction both have a frequency of 140 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original waves differ in phase by each of the following values?

Two waves traveling on a string in the same direction both have a frequency of 140 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original waves differ in phase by each of the following values? (a) /6 (b) /3 cm cm

Explanation / Answer

resultant amplitude = Ar = [A12 + A22 + 2A1A2 cos(angle) ]1/2

A1 =A2 = 0.06 m

for angle= pi/6

Ar = 0.115 m = 11.5 cm

for angle =pi/3

Ar =10.3 m

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