SOLUTION: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds,

Question 32326: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.
Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
Period(T) = k(Length)^1/2
4 = k(12)^1/2
=>4=2k(sqrt3)
=>k=2/sqrt(3)
So, T = 2L/sqrt(3)
If L=3
T=6/sqrt(3) = 2sqrt(3) = 3.5 seconds(approx)
Answer: approx 3.5 seconds
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