Thinking Mathematically: Explore the quantitative dependencies of the acceleration upon the speed and the radius of curvature. Then answer the following questions.  Choose the right answer in the parenthesis. 1. As the radius of the circle is doubled, the acceleration is  (one-fourth, one-half, two times, four times) the original value. 2. As the radius of the circle is tripled, the acceleration is (one-third, one-ninth, three times, nine times) the original value.  3. If your pig were made to fly at the same speed but in a circular path with a smaller radius, the tension in the string would be  (less, more).

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter15: Place And Time
Section: Chapter Questions
Problem 2SA: What, on a sphere, is analogous to a two-dimensional Cartesian coordinate system?
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Thinking Mathematically: Explore the quantitative dependencies of the acceleration upon the speed and the radius of curvature. Then answer the following questions.  Choose the right answer in the parenthesis.

1. As the radius of the circle is doubled, the acceleration is  (one-fourth, one-half, two times, four times) the original value.

2. As the radius of the circle is tripled, the acceleration is (one-third, one-ninth, three times, nine times) the original value. 

3. If your pig were made to fly at the same speed but in a circular path with a smaller radius, the tension in the string would be  (less, more). 

4. If your pig were made to fly at the same speed but in a circular path with a smaller radius, the centripetal force on the pig would be  (more, less).

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