A sinusoidal wave of frequency 425 Hz has a speed of 250 m/s. \\ (a) How far apart are two...

Question:

A sinusoidal wave of frequency 425 Hz has a speed of 250 m/s.


(a) How far apart are two points that differ in phase by {eq}\pi {/eq}/3 rad?


(b) What is the phase difference between two displacements at a certain point at times 1.00 ms apart?

Sinusoidal Wave:

For sinusoidal waves, the time for one full cycle is called the period. The multiplication of frequency and wavelength gives the speed of a wave. Generally, the phase difference is measured in the radian.

Answer and Explanation: 1

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Given Data:

  • The frequency of the wave is {eq}f = 425\;{\rm{Hz}} {/eq}.
  • The speed of the wave is {eq}v = 250\;{\rm{m/s}} {/eq}.


Part (a)

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