My Math Forum Question: Make Trig Function based on carousel's movement (shown at bottom)

 Pre-Calculus Pre-Calculus Math Forum

 April 10th, 2019, 08:02 AM #2 Math Team     Joined: Jul 2011 From: Texas Posts: 3,044 Thanks: 1627 The video shows 3.5 revolutions in a negative angular direction in 12 seconds. You should be able to determine an angular speed, $\omega$, from that information. If you place the camera at coordinates (6,0) with the center of the merry-go-round at the origin, then the distance from the camera to any point on the edge of the merry-go-round can be determined using the law of cosines. Note the angular position of any such point on the edge will be $\theta(t) = -\omega t$ since $\theta(0) = 0$ See what you can get done from here. Last edited by skeeter; April 10th, 2019 at 09:01 AM.

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