8. A 50 kg ice skater sp making 2.5 turns eac measurements indica What horizontal for

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**Educational Website - Rotational Motion Problems**

---

**Conceptual and Numerical Problems**

1. **Ice Skater's Spin Dynamics**  
   - A 50 kg ice skater spins about a vertical axis through her body, making 2.5 turns each second. Her arms are horizontally outstretched, measuring 1.5 m from each hand to the axis. The force exerted by her hand is about 12.5% of her body weight.
   - **Tasks:**
     - Determine the horizontal force exerted by her wrist.
     - Express this force as a multiple of the skater's weight.
   
2. **Rotating Platform Button**  
   - A button on a rotating platform 0.14 m from the axis can revolve at 370 rev/min. The static friction between the button and platform is 0.32.
   - **Questions:**
     - How far from the axis can the button be placed without slipping if the platform rotates at 600.0 rev/min?

3. **Merry-Go-Round Speed**  
   - Diameter: 5.0 m; rotates at 10 rev/min.
   - **Objective:**
     - Calculate the speed of a child on the rim.

4. **Table Saw Blade Velocity**  
   - Blade spins at 3800 rpm with a diameter of 254 mm.
   - **Determine:**
     - Speed of a tooth on the edge of the blade in m/s and mph.

5. **Old-Fashioned Record Rotation**  
   - Rotates at 33 1/3 rpm.
   - **Assess:**
     - Frequency and period in rev/s and seconds.

6. **Computer Hard Disk Rotation**  
   - Spins at 10,000 rpm.
   - **Evaluate:**
     - Frequency in rev/s and period in seconds.

7. **CD-ROM Drive Dynamics**  
   - Spins 12-cm diameter disks at 7300 rpm.
   - **Solve for:**
     - Rotational speed details.

This educational content addresses problems related to the physics of rotational motion suitable for students seeking to reinforce their understanding through real-world application and calculations. Each problem combines conceptual understanding with numerical solution for a comprehensive learning experience.

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Transcribed Image Text:**Educational Website - Rotational Motion Problems** --- **Conceptual and Numerical Problems** 1. **Ice Skater's Spin Dynamics** - A 50 kg ice skater spins about a vertical axis through her body, making 2.5 turns each second. Her arms are horizontally outstretched, measuring 1.5 m from each hand to the axis. The force exerted by her hand is about 12.5% of her body weight. - **Tasks:** - Determine the horizontal force exerted by her wrist. - Express this force as a multiple of the skater's weight. 2. **Rotating Platform Button** - A button on a rotating platform 0.14 m from the axis can revolve at 370 rev/min. The static friction between the button and platform is 0.32. - **Questions:** - How far from the axis can the button be placed without slipping if the platform rotates at 600.0 rev/min? 3. **Merry-Go-Round Speed** - Diameter: 5.0 m; rotates at 10 rev/min. - **Objective:** - Calculate the speed of a child on the rim. 4. **Table Saw Blade Velocity** - Blade spins at 3800 rpm with a diameter of 254 mm. - **Determine:** - Speed of a tooth on the edge of the blade in m/s and mph. 5. **Old-Fashioned Record Rotation** - Rotates at 33 1/3 rpm. - **Assess:** - Frequency and period in rev/s and seconds. 6. **Computer Hard Disk Rotation** - Spins at 10,000 rpm. - **Evaluate:** - Frequency in rev/s and period in seconds. 7. **CD-ROM Drive Dynamics** - Spins 12-cm diameter disks at 7300 rpm. - **Solve for:** - Rotational speed details. This educational content addresses problems related to the physics of rotational motion suitable for students seeking to reinforce their understanding through real-world application and calculations. Each problem combines conceptual understanding with numerical solution for a comprehensive learning experience. ---
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