The central arm's endpoints are a circle of radius 100:
x = 100cosθ
y = 100sinθ
At θ=0, the arm is horizontal. So, assuming the wheel's boarding position is also at θ=0, and its angle is relative to the central arm, the boarding location's coordinates are
x = 100cosθ + 40cos2θ
y = 100sinθ + 40sin2θ
Not sure what you mean by "improve the ride."
Many carnivals have a version of the double Ferris wheel. A large central arm rotates clockwise. At each end of the central arm is a Ferris wheel that rotates clockwise around the arm. Assume that the central arm has length 200 feet and rotates about its center. Also assume that the wheels have radius 40 feet and rotate at the same speed as the central arm.Find parametric equations for the position of a rider and graph the rider's path. Adjust the speed of rotation of the wheels to improve the ride
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