Posted by Chris on .
A ferris wheel with a diameter of 100 feet rotates at a constant rate of 4 revolutions per minute. Let the center of the ferris wheel be at the origin.
1. Each of the ferris wheel's cars travels around a cirlce.
a) Write an equation of the circle where x and y are measured in feet.
b)sketch a graph of an equation you wrote in part (a)
c) Use the vertical line test to determine whether y is a function of x.
d) What does your answer to part (C) mean in the context of the problem?

trig 
Henry,
1a. (xh)^2 + (yk)^2 = r^2.
C(h,k) = C(0,0).
Eq: x^2 + Y^2 = (50)^2 = 2500.
b. Use these points for graphing:
Angle (X,Y)
0. (5,0)
45. (3.54,3.54)
90. (0,5)
135 (3.54,3.54)
180 (5,0)
225 (3.54,3.54)
270 (0,5)
315 (3.54,3.54)
Sample Calculations
Scale for radius(r) = 0.1 * 50 = 5Ft.
X = r*cosA = 5*cos(0) = 5.
Y = 5*sin(0) = 0.
X = 5*cos45 = 3.54.
Y = 5*sin45 = 3.54.