The boat sways on waves, which spreads over the surface water at a speed of 2.5 m / s.
| March 15, 2021 | education
The boat sways on waves, which spreads over the surface water at a speed of 2.5 m / s. What is the oscillation period of the boat if the wavelength between the two crests is 8 m?
V = 2.5 m / s.
λ = 8 m.
T -?
The distance between two adjacent ridges is called the wavelength λ.
We express the frequency of oscillations v by the formula: v = V / λ, where V is the speed of wave propagation.
The oscillation period T is the time of one full oscillation. This is the reciprocal of the frequency v: T = 1 / v.
1 / T = V / λ.
The oscillation period of the wave T will be determined by the formula: T = λ / V.
T = 8 m / 2.5 m / s = 20 s.
Answer: the period of wave oscillations is T = 20 s.
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