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

Answer:

4.11 s.

Explanation:

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

$T = 2 \pi * \sqrt{\frac{L}{g} }$

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,

$T = 2\pi * \sqrt{l / g} = 2 \pi \sqrt{(67 / 9.81)} = 16.42$

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