A popular ride at amusement parks is illustrated in Figure

Chapter 6, Problem 107

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A popular ride at amusement parks is illustrated in Figure 646. In this ride, people sit in a swing that is suspended from a rotating arm. Riders are at a distance of 12 m from the axis of rotation and move with a speed of 25 mi/h. (a)Find the centripetal acceleration of the riders. (b) Find the angle the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 646, or as shown in the photo on page 170, you will notice that all the swings are at the same angle to the vertical, regardless of the weight of the rider. Explain.

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