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A popular ride at amusement parks is illustrated in
Chapter 6, Problem 107GP(choose chapter or problem)
A popular ride at amusement parks is illustrated in Figure 6–46. 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 \(\theta\) the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6–46, or as shown in the photo on page 170, you will notice that all the swings are at the same angle \(\theta\) to the vertical, regardless of the weight of the rider. Explain
Equation Transcription:
Text Transcription:
theta
theta
theta
Questions & Answers
QUESTION:
A popular ride at amusement parks is illustrated in Figure 6–46. 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 \(\theta\) the supporting wires make with the vertical. (c) If you observe a ride like that in Figure 6–46, or as shown in the photo on page 170, you will notice that all the swings are at the same angle \(\theta\) to the vertical, regardless of the weight of the rider. Explain
Equation Transcription:
Text Transcription:
theta
theta
theta
ANSWER:Step 1 of 6
Here we have to calculate the angular acceleration and angle the supporting wires makes with vertical plane.
In case of a ride, where people sit in a swing which is suspended from the rotating arm. The distance of the rider is from the rotation axis and the speed of the rider is
. Let the acceleration of the rider be
and the angle be
.