# Can a pendulum vibrate in an artificial satellite?

## OR: Can a pendulum clock be used in an artificial satellite?

The time period of a simple pendulum is, $T=2π\sqrt{\frac{l}{g}}$

In an artificial satellite, the effective value of acceleration due to gravity $g$ is zero. $\therefore T=2π\sqrt{\frac{l}{g}}=2π\sqrt{\frac{l}{0}}=\infty$

This means that a pendulum cannot vibrate in an artificial satellite.