# Pendulum errors ?

##### 2 Answers

#### Explanation:

The pendulum period for small oscillations is given by

applying the logarithm

deriving totally both sides

so we have:

and consequently

so at the new location the period was shortened and now is

The claimed precision regarding

The new period is

#### Explanation:

The period of a pendulum is

In the first place, we have

In the second place, we have

Therefore,