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Answer :
The length of the cables for a trapeze artist swinging with a period of 3.8 seconds can be calculated using the period formula for a simple pendulum. By rearranging the formula and plugging in the values, we can solve for the length of the cables.
The length of the cables supporting a trapeze artist can be calculated using the formula for the period of a simple pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum (in this case, the cables), and g is the acceleration due to gravity (approximately 9.81 m/s2). Given that the period T is 3.8 seconds, we rearrange the formula to solve for L: L = (T/2π)2 * g. Plugging in the given values results in L = (3.8/(2*3.14))2 * 9.81. The calculated length L is the distance from the pivot point to the center of mass of the trapeze artist, which represents the length of the cables.
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