Final answer:
The frequency of the ripples on the ocean with a wavelength of 8.00 cm and a speed of 8.00 m/s is 100 Hz. This is calculated using the wave equation, where frequency equals the speed divided by the wavelength.
Step-by-step explanation:
Wind gusts create ripples on the ocean that have a wavelength of 8.00 cm and propagate at 8.00 m/s. To find their frequency, we use the relationship between speed, frequency, and wavelength of a wave, which is given by the equation v = f × λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.
To solve for the frequency, we rearrange the equation to get f = v / λ. Substituting the given values:
- v = 8.00 m/s (speed of the wave)
- λ = 8.00 cm = 0.080 m (wavelength in meters)
So, the frequency f is calculated as follows:
f = 8.00 m/s / 0.080 m = 100 Hz
The frequency of the ripples created by wind gusts on the ocean with a given wavelength and propagation speed is 100 Hz.