A wave has a wavelength of 3.3 m and a speed of 5.6 m/s. what is the frequency of this wave?
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:
\(\Delta V = \frac{\Delta S}{\Delta T} \to \Delta T = \frac{\Delta S}{\Delta V}\)
\(\Delta T = \frac{3.3}{5.6}\)
\(\boxed{\Delta T \approx 0.58\:s}\)
Now: (if, ΔT = T), Using the formula of the period of a wave, find the frequency:
\(T = \frac{1}{f}\)
\(0.58 = \frac{1}{f}\)
\(0.58f = 1\)
\(f = \frac{1}{0.58}\)
\(\boxed{\boxed{f \approx 1.72\:Hz}}\end{array}}\qquad\quad\checkmark\)