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A deep-water wave has a wavelength of 10.0 meters. If it travels at 3.0 m/s, what is the wave's period?

User Skjoshi
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Final answer:

The frequency of the wave is 0.3 Hz and the period is 3.33 seconds.

Step-by-step explanation:

The speed of a wave is calculated by multiplying the wavelength of the wave by its frequency. In this case, the wavelength is given as 10.0 meters and the speed of the wave is given as 3.0 m/s. To find the frequency of the wave, we can rearrange the equation as follows:

Speed = Wavelength × Frequency

3.0 m/s = 10.0 m × Frequency

Solving for Frequency, we get:

Frequency = 0.3 Hz

Therefore, the period of the wave is equal to the inverse of its frequency:

Period = 1 / Frequency = 1 / 0.3 Hz = 3.33 seconds.

User RootPhoenix
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