A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 meters above the ground.
How would we draw a graph from this and how would we find the equation?
let the initial position be the point at the bottom of the wheel, and let the rotation be counterclockwise.
let the point on the ground 1.5 m directly below the initial position be the origin (0,0)
these are the equations that describe the motion of a single point in two dimensions.
$\displaystyle x = 7\sin\left(\frac{2\pi}{16} t\right)$
$\displaystyle y = -7\cos\left(\frac{2\pi}{16} t\right) + 8.5$