Question

A child in an inner tube is bobbing up and down in the ocean and notices that after a wave crest passes, four more crests pass in a time of 38.4 s and the distance between the crests is 32 m. If possible, determine the following properties for the wave. (If not possible, enter IMPOSSIBLE.)(a) Period (s)(b) Frequency (Hz)(c) Wavelength (m)(d) Speed ( m/s)(e) Amplitude (m)

Answer 1

Step-by-step explanation:

Given:

Four more crests pass in a time of 38.4 s and the distance between the crests is 32 m.

We have to determine five terms.

Lets start with one-one basis.

a.

Period = Time taken by a wave to pass though.

⇒
`P = (Total\ time)/(No.\ of\ waves)`

⇒
`P = (38.4)/(4)`

⇒
`P=9.6 s`

b.

Frequency = Reciprocal of time period in Hertz.

⇒
`f=(1)/(T)`

⇒
`f=(1)/(9.6)`

⇒
`f=0.104 Hertz`

c)

Wavelength = Distance between two consecutive trough and crest.

⇒
`\lambda = 32 m`

d.

Speed (v) = Product of frequency and wavelength.

⇒
`v=f* \lambda`

⇒
`v=0.104* 32`

⇒
`v = 3.33 ms^-1`

e)

Amplitude = The maximum displacement or half the distance from crest to trough.

⇒ Here it can't be determined.

⇒ Impossible.