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

A person is riding a ferris wheel that turns at a constant speeed. The lowest point of the ferris wheel is at ground level. Another person is standing at the side of the wheel on a platform 4m above the ground. She notes the times that the person on the wheel is at the same level as she. The intervals between two successive times are alternately 6s and 18s.

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 6:14pm
It 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

## Answer This Question

## Related Questions

- math function2 - A ferris wheel turns at a constant speed. the lowest point of ...
- Trigonometric Functions! (Ferris Wheel) - The Ferris wheel at a carnival has a ...
- Math (Trig) - a ferris wheel has a radius of 10m and is one meter above the ...
- Math - A ferris wheel has a diameter of 10 m and takes 24 sec to make one ...
- Pre Calculus 12 - Modelling with sine/cosine A Ferris wheel has a diameter of ...
- Physics - A ferris wheel, radius 5.0m, rotates once every 8.4 seconds. a) What ...
- physics - A person is riding on a Ferris wheel of radius R. He starts at the ...
- Physics - In a ferris wheel, one person is at the top and another at the bttom. ...
- calculus - Eric is standing on the ground, a distance of 70 ft from the bottom ...
- geometry - A person riding the original Ferris Wheel is traveling at a speed of ...

More Related Questions