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andreev551
2 months ago
8

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 spe

ed of the water waves? What is the period of these water waves?
Physics
1 answer:
inna [3.1K]2 months ago
4 0

Answer:

Speed = 0.296m/2

Period = 0.203 s

Explanation:

If by 'long' you're referring to the waves' wavelength, then the wavelength \lambda=0.06m.

The waves have a frequency of 14.8 cycles every 3 seconds, orf

f=14.8/3 =4.33Hz.

The interplay between the wavelength \lambda, frequency f, and speed v of the waves is defined as:

v=\lambda f

We input the values \lambda=0.06m and f=4.933Hz leading to:

\boxed{v=0.06*4.922=0.296m/s}

To determine the period T, one simply calculates the inverse of the frequency, or

T=\frac{1}{f}

\boxed{T=\frac{1}{4.933}=0.203\:seconds }

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