# SOLUTION: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should i

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 Question 7540: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period?Found 2 solutions by Earlsdon, Merhuza:Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!Write the proportion: Substitute the given values of p (2 secs) and l (6 ft.) and solve for k. Now you can write: Square both sides to find l. Now substitute the values for and then solve for l. l = 1.5 ft. Answer by Merhuza(5)   (Show Source): You can put this solution on YOUR website!l=6/4 =1.5ft