College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Dynamics
Section: Chapter Questions
Problem 84AP: A light rod of length 2L is free to rotate in a vertical plane about a frictionless pivot through...
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Question
![**Rotational Motion of an LP Record**
**Part A: Calculating the Frequency of Rotation**
---
**Problem Statement:**
An old-fashioned LP record rotates at 33 1/3 rpm.
**Question:**
What is its frequency in rev/s?
Express your answer in revolutions per second.
---
**Explanation:**
The problem involves calculating the rotational frequency of an LP record given its rotational speed in revolutions per minute (rpm). The frequency is denoted in rev/s.
**Steps to Solve:**
1. **Identify the given value:**
- Rotational speed (ω): 33 1/3 rpm
2. **Convert rpm to rev/s:**
- 1 rpm = 1/60 rev/s
3. **Apply the conversion:**
- (33 1/3) rpm = (100/3) rpm
- Therefore, (100/3) rpm * (1/60) rev/s = (100/3) * (1/60) rev/s
- Simplify the multiplication: (100/180) rev/s = (5/9) rev/s
**Answer:**
Therefore, the frequency of the LP record is **5/9 rev/s**.
**Note:**
Understanding the conversion from minutes to seconds is crucial for this calculation, as it ensures that the units are consistent for accurate computation.
---
This problem demonstrates the principles of rotational motion and unit conversion, which are fundamental topics in physics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2769bbd1-f3e5-43dc-9507-f39267f06cfb%2Ffd0d16de-1206-448f-b6c8-5ece5cc0aad3%2Fj7uvetg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Rotational Motion of an LP Record**
**Part A: Calculating the Frequency of Rotation**
---
**Problem Statement:**
An old-fashioned LP record rotates at 33 1/3 rpm.
**Question:**
What is its frequency in rev/s?
Express your answer in revolutions per second.
---
**Explanation:**
The problem involves calculating the rotational frequency of an LP record given its rotational speed in revolutions per minute (rpm). The frequency is denoted in rev/s.
**Steps to Solve:**
1. **Identify the given value:**
- Rotational speed (ω): 33 1/3 rpm
2. **Convert rpm to rev/s:**
- 1 rpm = 1/60 rev/s
3. **Apply the conversion:**
- (33 1/3) rpm = (100/3) rpm
- Therefore, (100/3) rpm * (1/60) rev/s = (100/3) * (1/60) rev/s
- Simplify the multiplication: (100/180) rev/s = (5/9) rev/s
**Answer:**
Therefore, the frequency of the LP record is **5/9 rev/s**.
**Note:**
Understanding the conversion from minutes to seconds is crucial for this calculation, as it ensures that the units are consistent for accurate computation.
---
This problem demonstrates the principles of rotational motion and unit conversion, which are fundamental topics in physics.
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