9.Ocean waves are traveling to the east at 4.0 m/s with a distance of 16 m betwe

Question

9.Ocean waves are traveling to the east at 4.0 m/s with a distance of 16 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat is at anchor?
1 Hz

(b) With what frequency do the waves hit the front of a boat when the boat is moving westward at 1.0 m/s?
2 Hz 9.Ocean waves are traveling to the east at 4.0 m/s with a distance of 16 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat is at anchor?
1 Hz

(b) With what frequency do the waves hit the front of a boat when the boat is moving westward at 1.0 m/s?
2 Hz (a) With what frequency do the waves hit the front of a boat when the boat is at anchor?
1 Hz

(b) With what frequency do the waves hit the front of a boat when the boat is moving westward at 1.0 m/s?
2 Hz

Explanation / Answer

wavelength = speed / frequency

frequency = speed / wavelength

frequency = 4.0 m/s / 16 m

frequency = 0.20 /sec (think of the units as waves/second)

If the boat is moving?

Then add the speed of the boat to the speed of the waves

frequency = (4.0 m/s + 1.0 m/s) / 16 m

frequency = 0.312 waves per second

(20 meters seems like a large wavelength, they must be BIG waves)

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