An old-fashioned LP record rotates at 33½ rpm. Part A 2 What is its frequency in rev/s? Express your answer in revolutions per second.

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Chapter1: Units, Trigonometry. And Vectors
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**Rotational Motion of an LP Record**

**Part A: Calculating the Frequency of Rotation**

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**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.

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**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. 

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This problem demonstrates the principles of rotational motion and unit conversion, which are fundamental topics in physics.
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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