# 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 it

Algebra ->  Algebra  -> Proportions -> 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 it      Log On

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 Click here to see ALL problems on Proportions Question 83017: 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 shorten to achieve a 1 second period? The answer is multiple choice. a. 1 foot b. 1.5 feet c. 2 feet d. 3 feetFound 2 solutions by funmath, josmiceli:Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!The period (T) of a simple pendulum is directly proportional to the square root of its length (L). If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shorten to achieve a 1 second period? The answer is multiple choice. a. 1 foot . 1.5 feet c. 2 feet d. 3 feet Directly proportional means multiply, k is the proportionality constant: , L=6 and T=2, find k The formula is let T=1 and find L L=1.5 feet Answer by josmiceli(9650)   (Show Source): You can put this solution on YOUR website!(b) 1.5 ft p = period s = length in ft k = constant of proportionality p = 1 sec square both sides length for a 1 sec period is 1.5 ft answer