Question

Once a week you babysit your neighbors toddler after school, usually going to a local playground. You notice that each swing on the swing set takes about the same amount of time, about 3.1 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenth place. T=2π√L/32

Answer 1

3.2 multiply pie by three

Answer 2

The length of swing is 7.8 feet.

Explanation:

Given:
`T=2\pi\sqrt{(L)/(32)}`

We need to find L for T=3.1 seconds

We will substitute T=3.1 sec into formula and solve for L

`3.1=2\pi\sqrt{(L)/(32)}`

Divide by 2π both sides

`0.4934=\sqrt{(L)/(32)}`

Squaring both sides

`0.2434=(L)/(32)`

Multiply both sides by 32

`L=7.789\approx 7.8`

Hence, The length of swing is 7.8 feet.