### Understanding Pendulum Motion **Watch the video below to see a demonstration of a pendulum motion:** [Watch on YouTube](#) When a weight is tied on the end of a string and is pulled back and released, it creates a pendulum. The time it takes for the pendulum to swing out and return to its original position is called the period, and depends on the length of the string. For small release angles, like the one in the video, we can use the equation \( T = 2\pi \sqrt{\frac{L}{g}} \), where: - \( T \) is the period of the swing, in seconds. - \( L \) is the length of the string, in meters. - \( g \) is gravity, about 9.8 \( m/s^2 \). My stopwatch estimated the period to be 1.2 seconds. Use this to determine the length of the string, in meters, to at least 3 decimal places. **Enter your calculated length below:** \[ \_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ meters} \] [Submit Question](#) [Message instructor](#)
### Understanding Pendulum Motion **Watch the video below to see a demonstration of a pendulum motion:** [Watch on YouTube](#) When a weight is tied on the end of a string and is pulled back and released, it creates a pendulum. The time it takes for the pendulum to swing out and return to its original position is called the period, and depends on the length of the string. For small release angles, like the one in the video, we can use the equation \( T = 2\pi \sqrt{\frac{L}{g}} \), where: - \( T \) is the period of the swing, in seconds. - \( L \) is the length of the string, in meters. - \( g \) is gravity, about 9.8 \( m/s^2 \). My stopwatch estimated the period to be 1.2 seconds. Use this to determine the length of the string, in meters, to at least 3 decimal places. **Enter your calculated length below:** \[ \_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ meters} \] [Submit Question](#) [Message instructor](#)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
When a weight is tied on the end of a string and is pulled back and released, it creates a pendulum. The time it takes for the pendulum to swing out and return to its original position is called the period, and depends on the length of the string.
For small release angles, like the one in the video, we can use the equation \( T = 2\pi \sqrt{\frac{L}{g}} \), where:
- \( T \) is the period of the swing, in seconds.
- \( L \) is the length of the string, in meters.
- \( g \) is gravity, about 9.8 \( m/s^2 \).
My stopwatch estimated the period to be 1.2 seconds. Use this to determine the length of the string, in meters, to at least 3 decimal places.
**Enter your calculated length below:**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ meters} \]
[Submit Question](#)
[Message instructor](#)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bda735b-2025-4d05-9143-dbda2769f862%2Fcfa3f092-5fbc-4a65-a54a-680dc0223493%2Fnea1a3q.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Pendulum Motion
**Watch the video below to see a demonstration of a pendulum motion:**
[Watch on YouTube](#)
When a weight is tied on the end of a string and is pulled back and released, it creates a pendulum. The time it takes for the pendulum to swing out and return to its original position is called the period, and depends on the length of the string.
For small release angles, like the one in the video, we can use the equation \( T = 2\pi \sqrt{\frac{L}{g}} \), where:
- \( T \) is the period of the swing, in seconds.
- \( L \) is the length of the string, in meters.
- \( g \) is gravity, about 9.8 \( m/s^2 \).
My stopwatch estimated the period to be 1.2 seconds. Use this to determine the length of the string, in meters, to at least 3 decimal places.
**Enter your calculated length below:**
\[ \_\_\_\_\_\_\_\_\_\_\_\_\_ \text{ meters} \]
[Submit Question](#)
[Message instructor](#)
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