A lifeguard on a beach observes that waves have a speed of 2.60 m/s and a distance of 2.50 m between wave crests. What is the period of the wave motion? Please show all work. (ref: p.382-387)

Respuesta :

Answer:

T = 0.96 seconds

Explanation:

Given that,

The speed of wave, v = 2.6 m/s

The distance between wave crests, [tex]\lambda=2.5\ m[/tex]

We need to find the period of the wave motion. Let T be the period. So,

[tex]v=\dfrac{\lambda}{T}\\\\T=\dfrac{\lambda}{v}\\\\T=\dfrac{2.5}{2.6}\\\\T=0.96\ s[/tex]

So, the period of the wave motion is equal to 0.96 seconds.

The period of the wave motion is 0.96 seconds.  Using the formula:

v = λ / T

where v is the velocity of the wave, λ is the wavelength and T is the period of the wave.

Given that v = 2.60 m/s, λ = 2.5 m, hence:

2.6 = 2.5/T

T = 0.96 s

The period of the wave motion is 0.96 seconds.

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