Arrange the listed objects according to their angular speeds, from largest to smallest. a tire of radius 0.401 m rotating at 75.8 rpm a bowling ball of radius 12.7 cm rotating at 8.21 rad/s a top with a diameter of 6.84 cm spinning at 375∘ per second a rock on a string being swung in a circle of radius 0.521 m with a centripetal acceleration of 25.4 m/s2

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Arrange the listed objects according to their angular speeds, from largest to smallest.

  • a tire of radius 0.401 m rotating at 75.8 rpm

  • a bowling ball of radius 12.7 cm rotating at 8.21 rad/s

  • a top with a diameter of 6.84 cm spinning at 375∘ per second

  • a rock on a string being swung in a circle of radius 0.521 m with a centripetal acceleration of 25.4 m/s2

  • a square, with sides 0.458 m long, rotating about its center with corners moving at a tangential speed of 2.51 m/s

**Arrange the Listed Objects According to Their Angular Speeds, from Largest to Smallest**

- **A Tire:**  
  - Radius: 0.401 m  
  - Rotational Speed: 75.8 rpm  

- **A Bowling Ball:**  
  - Radius: 12.7 cm  
  - Rotational Speed: 8.21 rad/s  

- **A Top:**  
  - Diameter: 6.84 cm  
  - Spinning Speed: 375° per second  

- **A Rock on a String:**  
  - Circle Radius: 0.521 m  
  - Centripetal Acceleration: 25.4 m/s²  

- **A Square:**  
  - Side Length: 0.458 m  
  - Tangential Speed at Corners: 2.51 m/s  

**Explanation:**  
To arrange the objects by angular speed, we need to convert all given parameters to a common unit (typically radians per second) and then compare them. Angular speed can be determined by different formulas depending on the given data (e.g., converting rpm to rad/s, calculating from tangential speed, etc.).
Transcribed Image Text:**Arrange the Listed Objects According to Their Angular Speeds, from Largest to Smallest** - **A Tire:** - Radius: 0.401 m - Rotational Speed: 75.8 rpm - **A Bowling Ball:** - Radius: 12.7 cm - Rotational Speed: 8.21 rad/s - **A Top:** - Diameter: 6.84 cm - Spinning Speed: 375° per second - **A Rock on a String:** - Circle Radius: 0.521 m - Centripetal Acceleration: 25.4 m/s² - **A Square:** - Side Length: 0.458 m - Tangential Speed at Corners: 2.51 m/s **Explanation:** To arrange the objects by angular speed, we need to convert all given parameters to a common unit (typically radians per second) and then compare them. Angular speed can be determined by different formulas depending on the given data (e.g., converting rpm to rad/s, calculating from tangential speed, etc.).
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