Answer to Question #5570 in Mechanics | Relativity for alex

Question

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 pendulm, which she hangs down the center of a spiral staircase of the tower. The period of oscillation is 10.8s. The acceleration of gravity is 9.8 m/s. What is the height? Answer in units of m

Answer 1

The period of oscillation of a pendulum is given by the following formula

Hence we get the value of height

Answer: 29m