Question

A wave is moving toward shore with a velocity of 18.0 m/s. If its period is 4 s,
what is its wavelength? Explain your answer.

Answer 1

Answer: 72 m

Explanation:

The velocity $V$ of a wave is expressed as the distance traveled by a periodic perturbation (which is the wavelength) $\lambda$ divided by the wave's period $T$, which is a time interval:

$V=\frac{\lambda}{T}$

Where $V=18 m/s$ and $T=4 s$

Isolating $\lambda$:

$\lambda=VT$

$\lambda=(18 m/s)(4 s)$

Finally:

$\lambda=72 m$ This is the value of the wavelength