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 29.4 s and the distance between the crests is 28 m. If possible, determine the following properties for the wave. (If not possible, enter IMPOSSIBLE.)

a. period
b. frequency
c. wavelength
d. speed
e. amplitude

Answer 1

a.
`T= 7.35 \ s`

b.
`f= 0.1360 \  Hz`

c.
`\lambda  =  28 m`

d.
`v =  3.81 \  m/s`

e IMPOSSIBLE

Step-by-step explanation:

Generally the period is mathematically represented as

`T= (k)/(n)`

substituting 29.4 s for k and 4 for n

`T= (29.4)/(4)`

`T= 7.35 \ s`

Generally the frequency is mathematically represented as

`f= (1)/(T)`

=>
`f= (1)/(7.35)`

=>
`f= 0.1360 \ Hz`

Generally the wavelength is the distance between the crests which is

`\lambda = 28 m`

Generally the speed is mathematically represented as

`v = (\lambda )/(T)`

=>
`v = ( 28)/(7.35)`

=>
`v = 3.81 \ m/s`