Ocean waves are traveling to the east at 4.3 m/s with a distance of 22 m between crests.
(a) With what frequency do the waves hit the front of a boat when the boat is at anchor?
To find the frequency at which the waves hit the front of the boat when it is at anchor, we need to use the formula:
Frequency (f) = Speed (v) / Wavelength (λ)
From the given information, we know that the speed of the waves (v) is 4.3 m/s, and the distance between crests (wavelength - λ) is 22 m.
Substituting these values into the formula:
f = 4.3 m/s / 22 m
Now we can calculate the frequency:
f ≈ 0.1955 Hz (rounded to four decimal places)
So, the waves hit the front of the boat at an approximate frequency of 0.1955 Hz while the boat is at anchor.
Remember, to solve this type of problem, you need to know the speed and wavelength of the waves and use the formula: Frequency = Speed / Wavelength.