trig

posted by Chris

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?

  1. Henry

    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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