A transverse wave travels at 190 m/s along the x-axis. If the period of the periodic vibrations of the wave is 2.6 milliseconds, then what is the wavelength of the wave?
Question
A transverse wave travels at 190 m/s along the x-axis. If the period of the periodic vibrations of the wave is 2.6 milliseconds, then what is the wavelength of the wave?
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
Given that the speed of the wave (v) is 190 m/s and the period of the wave (T) is 2.6 milliseconds (which is 2.6 * 10^-3 seconds), we can substitute these values into the formula:
λ = 190 m/s * 2.6 * 10^-3 s = 0.494 m
So, the wavelength of the wave is 0.494 meters.
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