The time t in seconds that it takes for a pendulum to complete one full swing is given by the formula: t = 27√√ where L is the length of the arm of the pendulum in centimeters, and g is the acceleration due to gravity. Suppose a ball on a string, swinging like a pendulum, takes 2 seconds to complete one swing back and forth. If g = 680 cm/s², find L, the length of the string. (hint: Use the formula above and substitute all the given.)

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