A visitor 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 9.79 s. The acceleration of gravity is 9.8 m/s 2 . What is the height of the tower

The height of the tower is 23.786 m

Explanation:

Given;

period of oscillation, t = 9.79 s

acceleration of gravity, g = 9.8 m/s²

The period of oscillation is calculated as follows;

where;

h represents the height of the tower

g is the acceleration of gravity

square both sides of the equation;

Therefore, the height of the tower is 23.786 m