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
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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 feet
Found 2 solutions by funmath, josmiceli:
Answer by funmath(2933) (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(19441) (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
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