Concept explainers
Emily rides on a horizontal rotating platform of radius r at an amusement park and moves at speed
a. If the rotation rate of the platform remains constant, what will be her linear speed when she moves to the outer edge?
b. If Emily’s linear speed was 1.0 m/s at one-third the radius from the center; show that she would move at 3.0 m/s at the outer edge.
(a)
The linear speed of person E if she moves to the outer edge.
Answer to Problem 52A
The linear speed of person E if she moves to the outer edge is
Explanation of Solution
Given:
The radius of the rotating platform is
The speed at the one-third of the rotating platform is
Formula used:
The expression for tangential speed is,
Here,
Calculation:
The linear speed of person E if she moves to the outer edge using the relation is,
Conclusion:
Thus, the linear speed of person E if she moves to the outer edge is
(b)
To show:The linear speed of person E if she moves to the outer edge is
Explanation of Solution
Given:
The speed at the one-third of the rotating platform is
Formula used:
The expression for tangential speed is,
Here,
Calculation:
From part (a), the linear speed of Emily if she moves to the outer edge is
The linear speed of person E if she moves to the outer edge is,
Conclusion:
Thus, the linear speed of person E if she moves to the outer edge is
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