5. Two waves traveling in opposite directions produce a standing wave. The individual wave functions are y = (4.0cm) sin(3.0x - 2.0t) andy2 = (4.0cm) sin(3.0x + 2.0t) A) Find the amplitude of the simple harmonic motion of the element of the medium located at x = 2.3 cm. B) Find the positions of the nodes and antinodes if one end of the string is at x = 0.

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A: The wave equation: D=(4.0 mm)sin2πx-πt

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A: Given data:  Period (T) = 2.3 s Wavelength (λ) = 8.5 m Required: Frequency (f) and wave speed (v)

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A: Given data:  Wavelength (λ) = 8 m Frequency (f) = 2 Hz Required: Wave Speed (v)

Q: None

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A: A wave travels at a constant speed along a string.

Q: Can changing the material (I.e. stretch the spring tighter) change the speed of a wave?

A: Yes. It will change

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A: The speed of a wave is always its wavelength times its frequency.Speed = Wavelength x Wave…

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).