Question

A wave has a wavelength of 3.3 m and a speed of 5.6 m/s. what is the frequency of this wave?

Answer 1

1.72

Step-by-step explanation:

Answer 2

Data:

λ (wavelenght) = 3.3 m → ΔS = 3.3 m
v (speed) = 5.6 m/s → ΔV = 5.6 m/s
T (period) → ΔT = ?
f (frequency) = ?

If:

`\Delta V = (\Delta S)/(\Delta T) \to \Delta T = (\Delta S)/(\Delta V)`

`\Delta T = (3.3)/(5.6)`

`\boxed{\Delta T \approx 0.58\:s}`

Now: (if, ΔT = T), Using the formula of the period of a wave, find the frequency:

`T = (1)/(f)`

`0.58 = (1)/(f)`

`0.58f = 1`

`f = (1)/(0.58)`

`\boxed{\boxed{f \approx 1.72\:Hz}}\end{array}}\qquad\quad\checkmark`