A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from thisrope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s.(a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing?m/s?(b) What provides the centripetal force that keeps the child moving in an arc?O the tension in the ropeO the weight of the childgravitational accelerationO the height of the tree

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fastens to the limb of swing is 7.05 m/s.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section5.3: Nonuniform Circular Motion

Problem 5.5QQ: Which of the following is impossible for a car moving in a circular path? Assume that the car is...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this
rope that is 6.10 m long, his tangential speed at the bottom of the swing is 7.05 m/s.
(a) What is the centripetal acceleration, in m/s?, of the child at the bottom of the swing?
m/s?
(b) What provides the centripetal force that keeps the child moving in an arc?
O the tension in the rope
O the weight of the child
gravitational acceleration
O the height of the tree

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