Physics Help Forum Calculating wave height from a ball on a boat

 Periodic and Circular Motion Periodic and Circular Motion Physics Help Forum

 Sep 9th 2018, 07:25 PM #1 Junior Member   Join Date: Sep 2018 Posts: 2 Calculating wave height from a ball on a boat You are sitting on a boat looking at a ball rolling back and forth on a table as the boat rocks. The position of the ball is x(t) = asin(ωt), where a = 1.0 cm and ω = 0.2π/s. Estimate the size of the waves that are making the boat rock. (This will require you to make some assumptions, state them clearly) Any answers? Attached Thumbnails
 Sep 10th 2018, 03:40 AM #2 Senior Member     Join Date: Jun 2016 Location: England Posts: 961 Firstly I would recommend looking at the wave length. The boat should "fit" within the wave length, so the boat movement follows the wave motion. __________________ ~\o/~
 Sep 12th 2018, 01:58 AM #3 Junior Member   Join Date: Sep 2018 Posts: 2 And then what do I do?
 Sep 13th 2018, 09:22 AM #4 Senior Member     Join Date: Jun 2016 Location: England Posts: 961 The motion of the ball is friction free, and so perfectly echoes the motion of the boat. __________________ ~\o/~

 Tags ball, boat, calculating, height, simple harmonic motion, wave

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