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

Step-by-step 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=(\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