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January 27, 2015

January 27, 2015

Posted by **REALLY URGENT** on Monday, May 5, 2014 at 4:38pm.

a)what is the period of rotation of the ferris wheel?

b)what is the radius of the wheel? Determine an equation for this function.

- Trigonometric Functions -
**Steve**, Monday, May 5, 2014 at 6:14pmIt appears that the person on the wheel is at height 4 at t=6 and t=18

Since the person on the wheel is at the lowest point at t=0, we have

y = r(1-cos(t))

Since t=6 going up, t=18+6=24 when the person is back on the ground. So, the period is 24 and the height of 4 is at 1/4 of a revolution.

y = r(1-cos(pi/12 t))

Since y=4 at t=6, we have r=4, and

y = 4(1-cos(pi/12 t))

http://www.wolframalpha.com/input/?i=plot+y%3D4%281-cos%28pi%2F12+x%29%29%2Cy%3D4

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