A seismic wave is described by the equation y(x, t) = (7.00cm)cos[(6.00 πrad/cm)x+ (20.0πrad/s)t]. The wave travels through a uniform medium along the x-axis. [a] Is this wave moving to the right (+x-direction) or the the left (-x-direction)? [b] How far from the equilibrium position do the particles in the medium move? [c] Calculate the frequency of the wave. [d] Calculate the wavelength of this wave. [e] Describe the motion of the wave that is at y = 7.00cm and x = 0 when t= 0. Draw a graph of the snapshot taken at the above values.

Principles of Physics: A Calculus-Based Text
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Chapter13: Mechanical Waves
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A seismic wave is described by the equation y(x, t) = (7.00cm)cos[(6.00 πrad/cm)x+ (20.0πrad/s)t].
The wave travels through a uniform medium along the x-axis.
[a] Is this wave moving to the right (+x-direction) or the the left (-x-direction)?
[b] How far from the equilibrium position do the particles in the medium move?
[c] Calculate the frequency of the wave.
[d] Calculate the wavelength of this wave.
[e] Describe the motion of the wave that is at y = 7.00cm and x = 0 when t= 0. Draw a graph of the snapshot taken at the above values.

 

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