**Title: Using the Formula for Angular Velocity** --- **Objective:** Learn how to use the formula \( s = r \omega t \) to find the value of the missing variable. **Instructions:** Given specific values, calculate the angular velocity and provide an exact answer. **Problem Statement:** Use the formula \( s = r \omega t \) to find the missing variable. - **Given:** - \( s = \frac{\pi}{3} \) meters - \( r = 3 \) meters - \( t = 4 \) seconds **Options:** - \( \frac{4\pi}{9} \) radians per second - \( \frac{\pi}{36} \) radians per second **Solution Approach:** To solve the problem, we need to rearrange the formula to solve for \( \omega \): \[ \omega = \frac{s}{rt} \] Substitute the given values into the formula to find the angular velocity (\( \omega \)). **Calculation Steps:** \[ \omega = \frac{\pi/3}{3 \times 4} \] Calculate the result to find the exact angular velocity. **Note:** Make sure to provide an exact answer from the options using simplified fractions where necessary.
**Title: Using the Formula for Angular Velocity** --- **Objective:** Learn how to use the formula \( s = r \omega t \) to find the value of the missing variable. **Instructions:** Given specific values, calculate the angular velocity and provide an exact answer. **Problem Statement:** Use the formula \( s = r \omega t \) to find the missing variable. - **Given:** - \( s = \frac{\pi}{3} \) meters - \( r = 3 \) meters - \( t = 4 \) seconds **Options:** - \( \frac{4\pi}{9} \) radians per second - \( \frac{\pi}{36} \) radians per second **Solution Approach:** To solve the problem, we need to rearrange the formula to solve for \( \omega \): \[ \omega = \frac{s}{rt} \] Substitute the given values into the formula to find the angular velocity (\( \omega \)). **Calculation Steps:** \[ \omega = \frac{\pi/3}{3 \times 4} \] Calculate the result to find the exact angular velocity. **Note:** Make sure to provide an exact answer from the options using simplified fractions where necessary.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Title: Using the Formula for Angular Velocity**
---
**Objective:**
Learn how to use the formula \( s = r \omega t \) to find the value of the missing variable.
**Instructions:**
Given specific values, calculate the angular velocity and provide an exact answer.
**Problem Statement:**
Use the formula \( s = r \omega t \) to find the missing variable.
- **Given:**
- \( s = \frac{\pi}{3} \) meters
- \( r = 3 \) meters
- \( t = 4 \) seconds
**Options:**
- \( \frac{4\pi}{9} \) radians per second
- \( \frac{\pi}{36} \) radians per second
**Solution Approach:**
To solve the problem, we need to rearrange the formula to solve for \( \omega \):
\[ \omega = \frac{s}{rt} \]
Substitute the given values into the formula to find the angular velocity (\( \omega \)).
**Calculation Steps:**
\[ \omega = \frac{\pi/3}{3 \times 4} \]
Calculate the result to find the exact angular velocity.
**Note:**
Make sure to provide an exact answer from the options using simplified fractions where necessary.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb592224-c5dc-4690-b44a-e8ba296a38eb%2F4075a121-7b7b-4330-8613-d1a54607ce1c%2Fmft81yo.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Using the Formula for Angular Velocity**
---
**Objective:**
Learn how to use the formula \( s = r \omega t \) to find the value of the missing variable.
**Instructions:**
Given specific values, calculate the angular velocity and provide an exact answer.
**Problem Statement:**
Use the formula \( s = r \omega t \) to find the missing variable.
- **Given:**
- \( s = \frac{\pi}{3} \) meters
- \( r = 3 \) meters
- \( t = 4 \) seconds
**Options:**
- \( \frac{4\pi}{9} \) radians per second
- \( \frac{\pi}{36} \) radians per second
**Solution Approach:**
To solve the problem, we need to rearrange the formula to solve for \( \omega \):
\[ \omega = \frac{s}{rt} \]
Substitute the given values into the formula to find the angular velocity (\( \omega \)).
**Calculation Steps:**
\[ \omega = \frac{\pi/3}{3 \times 4} \]
Calculate the result to find the exact angular velocity.
**Note:**
Make sure to provide an exact answer from the options using simplified fractions where necessary.
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