A wave travels at 175 m/s along the x-axis. If the period of the periodic vibrations of the wave is 3.00 milliseconds, then what is the wavelength of the wave?

Question

A wave travels at 175 m/s along the x-axis.

If the period of the periodic vibrations of the wave is 3.00 milliseconds, then what is the wavelength of the wave?

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Solution

To find the wavelength of the wave, we can use the formula for the speed of a wave, which is:

v = λ/T

where: v is the speed of the wave, λ is the wavelength, and T is the period of the wave.

We can rearrange this formula to solve for the wavelength:

λ = v * T

We know that the speed of the wave (v) is 175 m/s and the period of the wave (T) is 3.00 milliseconds, which is 0.003 seconds (since 1 millisecond = 0.001 seconds).

Substituting these values into the formula gives:

λ = 175 m/s * 0.003 s = 0.525 m

So, the wavelength of the wave is 0.525 meters.

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A wave travels at 175 m/s along the x-axis. If the period of the periodic vibrations of the wave is 3.00 milliseconds, then what is the wavelength of the wave?

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