Question

A water wave has a frequency of 9 Hz and a wavelength of 5 m.

(a) What is the period of these waves?
(b) What is the wave velocity?
m/s

Answer 1

Part a)
`T=(1)/(9)\ sec`

Part b)
`v=45\ m/sec`

Step-by-step explanation:

Part a) What is the period of these waves?

we know that

Since wave frequency (f) is the number of waves per second, and the period (T) is essentially the number of seconds per wave, the relationship between frequency and period is

`f=(1)/(T)`

`T=(1)/(f)`

we have

`f=9\ Hz`

Remember that

1 Hz is one cycle (or one wave) per second

so

`T=(1)/(9)\ sec`

Part b) What is the wave velocity?

we know that

The speed of a wave (v) is equal to the frequency multiplied by the wavelength

we have

`f=9\ Hz`

`wavelength=5\ m`

so

`v=(9)(5)=45\ m/sec`