# A pendulum swings back and forth with a period of 0.5 s. What is the length of the pendulum arm?

##### 1 Answer

The length of the pendulum arm is

#### Explanation:

To determine the length of the pendulum arm, we'll have to use the equation below:

Let's identify our known and unknown variables. We have the period of the pendulum, the acceleration due to gravity has a value of

What you want to do first is square both sides of the equation to get rid of the square root:

Lets's multiply both sides by

Now we divide by

Next we can plug in our known values and solve for L like this: