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A woman is sitting in a boat at anchor on a lake. Her boat bobs up and down once every 2.0·s. She notices that when the front of her 3.0·m long boat is at one wave crest, a second crest is at the middle of her boat, and a third is at the end.

What is the frequency of the waves?

  • math -

    It doesn't matter how long her boat is. The boat bobs up and down every 2 seconds. In that time, two wave fronts have passed. So, the frequency is 2waves/2sec = 1/sec = 1 Hz.

  • math - my bad -

    Damon got it right.

    The two wave fronts means that the boat has bobbed twice by the time they have passed, but it only bobs once in 2 seconds. So, frequency is indeed 1/2 Hz

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