Avisitor to a lighthouse wishes to determine the height of the tower. she ties a spool of thread to a small rock to make a simple pendulum, which she hangs down the center of a spiral staircase of the tower. the period of oscillation is 10.1 s. the acceleration of gravity is 9.8 m/s 2 . what is the height of the tower?

To solve this problem we must rely on the equations of the simple harmonic movement that define the period as a function of length and gravity as

Where

l = Length

g = Gravity

Re-arrange to find L,

Our values are given as

Replacing,

Therefore the height would be 25.348m

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