Question

Once a week you babysit your neighbor’s 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 2.2 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place.T = 2pie radical L/32

Answer 1

Answer:

3.9 units

Step-by-step explanation:

We are given that,

Time taken by each swing = 2.2 seconds

The pendulum formula is given by, $T = 2\pi \sqrt{\frac{L}{32}}$, where T is the time taken and L is the length of the swing.

So, we have,

$2.2= 2\pi \sqrt{\frac{L}{32}}$

i.e. $\frac{2.2}{2\pi}=\sqrt{\frac{L}{32}}$

i.e. $(\frac{2.2}{2\pi})^{2}=\frac{L}{32}$

i.e. $L=32\times (\frac{2.2}{2\pi})^{2}$

i.e. $L=32\times \frac{4.84}{4 \pi^2}$

i.e. $L=32\times \frac{1.21}{\pi^2}$

i.e. $L=\frac{38.72}{9.87}$

i.e. L = 3.923 units

So, rounded to tenths, the length of the swing is 3.9 units.