Ocean waves are traveling to the east at 3.9 m/s with a distance of 21 m between

Question

Ocean waves are traveling to the east at 3.9 m/s with a distance of 21 m between crests. (a) With what frequency do the waves hit the front of a boat when the boat is at anchor? Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. Hz (b) With what frequency do the waves hit the front of a boat when the boat is moving westward at 1.5 m/s? Incorrect: Your answer is incorrect. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. Hz

Explanation / Answer

wavelength = speed / frequency

frequency = speed / wavelength

frequency = 3.9 m/s / 21 m

frequency = 0.19 /sec (think of the units as waves/second) (answer a)

If the boat is moving?

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

frequency = (3.9 m/s + 1.5 m/s) / 21 m

frequency = 0.26 waves per second (answer b)

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

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