Two sinusoidal waves of the same frequency travel in the same direction along a string. If A, = 3.0 cm, A2 = 4.0 cm, , = 0, and o, = 1/2 rad, what is the amplitude of the resultant wave?
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The amplitude of the resultant wave is 0.5 m
Explanation:
A = 3.0 cm
A2 = 4.0 cm
ϕ = 0
ϕ2 = π/2 rad
Solution:
As the two sinusoidal waves of the same frequency traveling in the same direction so
- The resultant wave amplitude is
Ym = Ym1 + Ym2 cos (ϕ2 /2)
- By substituting the values we get
Ym = ( 0.03 + 0.04 ) cos ( π /4)
= 0.496 m ~ 0.5 m
Thus the amplitude of the resultant wave is 0.5 m
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