Question

What happens to the period of a pendulum if the frequency is halved?

Answer 1

The period of a pendulum is related to its frequency by the following formula:

`T=(1)/(f)`

If the frequency is halved we have:

`T_2=(1)/((f)/(2))`

Simplifying we get:

`T_2=2((1)/(f))`

The term inside the parenthesis is the original period, therefore:

`T_2=2T`

Therefore, if the frequency is halved the period is doubled.