# Question #47b8a

##### 1 Answer

Dec 26, 2017

See the explanation below

#### Explanation:

The length of the pendulum is

The period of the pendulum is

The period of a simple pendulum is

Taking natural logarithms on both sides

Differentiating the equation

You cannot substract errors

Therefore,

The error in measuring the length is

The error in measuring the acceleration due to gravity is

So,