Question

What is a wave's wavelength if it was

traveling at 33 m/s and had a frequency of
11 Hz? What was the period?

Answer 1

Important Formulas:

`v=\lambda f`

velocity(measured in m/s) = wavelength(measured in meters) * frequency(measured in hertz)

`T=(1)/(f)`

period(measured in seconds) = 1 / frequency(measured in hertz)

__________________________________________________________

Given:

`v=33m/s`

`f=11Hz`

`\lambda=?`

`T=?`

__________________________________________________________

Wavelength:

Rearrange formula for velocity to make wavelength the subject:

`v=\lambda f`

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

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

__________________________________________________________

Finding wavelength:

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

`\lambda=(33)/(11)`

`\lambda=3m`

__________________________________________________________

Period:

Finding period:

`T=(1)/(f)`

`T=(1)/(11)`

`T=0.09`

__________________________________________________________

Answer:

`\boxed{\lambda=3 \texttt{ meters}}\\\boxed{T=0.09 \texttt{ seconds}}`