trig

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. 6
asked by Chris
  1. 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.

    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math-trig

    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. The height h (in feet) of a Ferris wheel car located at the point (x, y) is
  2. math

    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. The height h (in feet) of a Ferris wheel car located at the point (x, y) is
  3. math (trigonometry)

    A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question. c) Determine the angular velocity of the Ferris wheel
  4. math trig

    A Ferris wheel with a diameter of 37 meters rotates at a rate of 4 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.
  5. physics

    A Ferris wheel with radius 8.8 m rotates at a constant rate, completing one revolution every 34.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.212 rad/s2 when a passenger is at the top of the wheel. Find the
  6. Math

    Tony visits the local fair and sees one if therides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. if it takes 12 seconds to make one full revolution, what is the equation of the
  7. Honors Pre Calculus

    Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the
  8. Physics

    A Ferris wheel with radius 11.0 m rotates at a constant rate, completing one revolution every 33.9 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the
  9. Physics

    A Ferris wheel with radius 9.8 m rotates at a constant rate, completing one revolution every 36.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the
  10. Physics

    A Ferris wheel with radius 9.8 m rotates at a constant rate, completing one revolution every 36.6 s. Suppose the Ferris wheel begins to decelerate at the rate of 0.227 rad/s2 when a passenger is at the top of the wheel. Find the

More Similar Questions