Problema Solution
the length of a simple pendulum varies directly with the square of its period. if a pendulum of length 12.25 meters has a period of 7 seconds, how long is a pendulum with a period of 10 seconds?
Answer provided by our tutors
Let
L = the length of the pendulum
T = 10 s the period of the pendulum
The length of a simple pendulum varies directly with the square of its period:
L/T^2 = k, where k is constant
12.25/7^2 = L/10^2
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L = 25 m
The pendulum with a period of 10 seconds is 25 meters long.