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the giant swing at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. each arm supports a seat suspended from a cable 5.00 m long, the upper end of the cable being fastened to the arm at a point 3.00 m from the central shaft.

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Final answer:

The subject of this question is physics. It involves the concept of pendulums and circular motion. In this case, the giant swing at the county fair can be considered a pendulum. The speed of the swing at the bottom of its arc can be calculated using the principles of circular motion.

Step-by-step explanation:

The subject of this question is physics. It involves the concept of pendulums and circular motion.

In this case, the giant swing at the county fair can be considered a pendulum. The seats on the swing are suspended from cables, and the swing moves back and forth like a pendulum. The speed of the swing at the bottom of its arc can be determined using the principles of circular motion.

The information given in the question allows us to calculate the speed at the bottom of the arc by using the formula for the speed of an object in circular motion, which is v = √(g*r), where v is the speed, g is the acceleration due to gravity, and r is the radius or length of the cable. By substituting the values provided in the question, we can calculate the speed at the bottom of the swing.

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