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Determine the length of a pendulum that has a period of 4 seconds.
To determine the length of a pendulum with a period of 4 seconds, we can use the following formula:
T = 2 * π * sqrt(L / g)
where:
T is the period of the pendulum
L is the length of the pendulum
g is the acceleration due to gravity, which is approximately 9.8 m/s^2
Rearranging this formula to solve for L, we have:
L = (T^2 * g) / (4 * π^2)
Plugging in the given values, we get:
L = (4^2 * 9.8) / (4 * π^2)
L = 156.8 / (4 * π^2)
L ≈ 3.97 meters
Therefore, the length of the pendulum that has a period of 4 seconds is approximately 3.97 meters.