The 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 85 N•m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.4 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer Co

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Statement:**

The 213-kg wheel has a radius of gyration about its center \( O \) of \( k_O = 240 \, \text{mm} \), and radius \( r = 0.4 \, \text{m} \). When the wheel is subjected to the constant couple moment \( M = 85 \, \text{N} \cdot \text{m} \), it starts rolling from rest. Determine the wheel's angular velocity \( \omega \) (in rad/s) after 4.4 seconds if the wheel has been rolling **without** slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \).

**Diagram Explanation:**

The diagram shows a wheel with a central point labeled \( O \). A constant couple moment \( M \) is applied, causing the wheel to rotate. The radius \( r \) from the center \( O \) to the edge of the wheel is indicated, and an arrow shows the direction of rotation. The ground beneath suggests a rolling motion without slipping.
Transcribed Image Text:**Problem Statement:** The 213-kg wheel has a radius of gyration about its center \( O \) of \( k_O = 240 \, \text{mm} \), and radius \( r = 0.4 \, \text{m} \). When the wheel is subjected to the constant couple moment \( M = 85 \, \text{N} \cdot \text{m} \), it starts rolling from rest. Determine the wheel's angular velocity \( \omega \) (in rad/s) after 4.4 seconds if the wheel has been rolling **without** slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows a wheel with a central point labeled \( O \). A constant couple moment \( M \) is applied, causing the wheel to rotate. The radius \( r \) from the center \( O \) to the edge of the wheel is indicated, and an arrow shows the direction of rotation. The ground beneath suggests a rolling motion without slipping.
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