Posted by **Chris** on Saturday, August 20, 2011 at 4:21pm.

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**, Saturday, August 20, 2011 at 9:50pm
1a. (x-h)^2 + (y-k)^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.

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