The speed of a deep water wave with a wavelength λ is given approximately by v = (gλ/2π)1/2. Find the speed and frequency of a deep water wave with a wavelength of 3.2 m.

Question

The speed of a deep water wave with a wavelength λ is given approximately by v = sqrt(gλ/2π). Find the speed and frequency of a deep water wave with a wavelength of 4.5 m.

Answer 1

You have a formula for v as a function of wavelength λ and you know the value of g in units of m/s². Plug in the the wavelength in units of meters and evalute v in units of m/s. Then get frequency in units of Hz from

f = v / λ