Water waves in a small tank are .06 m long. they pass a given point at a rate of 14.8 waves every three seconds. what is the speed of the water waves? what is the period of these water waves?

The speed of the wave is 0.2958 m/s and its period is 0.203 second

The speed of a wave is the product of its frequency and wavelength. It is given by:

v = fλ

where f is the frequency, λ is the wavelength and v is the velocity

The frequency (F) = 14.8 waves / 3 seconds = 4.93 wave per second

Speed(v) = Fλ = 4.93 * 0.06 m = 0.2958 m/s

Period (T) = 1/F = 1 / 4.93 = 0.203 second

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Speed = 0.296m/2

Period = 0.203 s

Explanation:

If by 'long' you mean the wavelength of the waves, then the wavelength .

The frequency of the waves is 14.8 waves every 3 seconds or

.

Now the relationship between wavelength , frequency and speed of the waves is:

We put in the values and and get:

Now the period is just the inverse of the frequency, or

15.3 cos 65 degrees trig