Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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 nearly the same amount of time, about 2.7 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place. A.37 feetB.5.4 feetC.1.8 feetD.5.9 feet

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 Nearly The Sam class=

Sagot :

Explanation

We are given the following pendulum formula:

[tex]\begin{gathered} T=2\pi\sqrt{\frac{L}{32}} \\ where \\ T=timetaken \\ L=Length \end{gathered}[/tex]

We are required to determine the length of the swing.

This is achieved thus:

[tex]\begin{gathered} T=2\pi\sqrt{\frac{L}{32}} \\ where \\ T=2.7seconds \\ \\ \therefore2.7=2\pi\sqrt{\frac{L}{32}} \\ \text{ Divide both sides by }2\pi \\ \frac{2.7}{2\pi}=\frac{2\pi\sqrt{\frac{L}{32}}}{2\pi} \\ \frac{2.7}{2\pi}=\sqrt{\frac{L}{32}} \\ \text{ Square both sides } \\ (\frac{2.7}{2\pi})^2=(\sqrt{\frac{L}{32}})^2 \\ (\frac{2.7}{2\pi})^2=\frac{L}{32} \\ \frac{L}{32}=\frac{2.7^2}{4\pi^2} \\ \\ \therefore L=\frac{2.7^2\times32}{4\pi^2} \\ L\approx5.9\text{ }feet \end{gathered}[/tex]

Hence, the answer is:

[tex]L\approx5.9\text{ }feet[/tex]

Option D is correct.

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.