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
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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