Question

A pendulum that was originally erected by Foucault at the Pantheon in Paris for the Paris Exhibition in 1851 was restored in 1995. It has a 28.0-kg sphere suspended from a 67.0-m light cable. How long would it take for the bob in this pendulum to move from the position of maximum displacement down to the equilibrium point?

Answer 1

4.11 s.

Step-by-step explanation:

The period T of oscillation of the pendulum is given by the formula:

`T = 2 \pi * \sqrt{(L)/(g) }`

The maximum oscillation point it can reach is 45 °,

This point is the equivalent of T / 4, which is the moment when it reaches equilibrium.

So for T / 4,

`T = 2\pi * √(l / g) = 2 \pi √((67 / 9.81)) = 16.42`

`t = T / 4 = 16.42 / 4 = 4.11 s`