17. A CD-ROM drive in a computer spins the 12-cm-diameter disks at 7300 rpm. What is a disk's period in s? What is a disk's frequency in rev/s?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 17
### Educational Content Transcription

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**Problem 17: CD-ROM Drive Dynamics**
- A CD-ROM drive in a computer spins the 12-cm-diameter disks at 7300 rpm.
  - What is a disk's period in seconds?
  - What is a disk's frequency in revolutions per second?

**Problem 18: Carousel Kinematics**
- The horse on a carousel is 4.1 m from the central axis. If the carousel rotates at 0.14 revolutions per second:
  - How long does it take the horse to go around twice?
  - How fast is a child on the horse going (in meters per second)?

**Problem 19: Earth’s Orbital Motion**
- The radius of the earth’s nearly circular orbit around the sun is 1.50 × 10¹¹ meters.
  - Find the magnitude of the earth’s velocity as it travels around the sun. Assume a year of 365 days.
  - Find the magnitude of the earth’s centripetal acceleration as it travels around the sun.

**Problem 20: Wind Turbine Dynamics**
- Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the blade’s tips can be quite high—many times higher than the wind speed. A turbine that spins at 14 rpm has blades:
  - At the tip of a blade, what is the speed?
  - At the tip of a blade, what is the centripetal acceleration?

**Problem 23: Human Centrifuge Experience**
- To withstand "g-forces" of up to 10g, caused by suddenly pulling out of a steep dive, fighter pilots train on a "human centrifuge." 10g is an acceleration of 9.8 m/s².
  - If the length of the centrifuge arm is 14 m, at what speed is the rider moving when she experiences this acceleration?

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### Explanation of Concepts

- **Period and Frequency (Problem 17):** 
  - The period is the time it takes to complete one cycle, while frequency is the number of cycles per unit of time.

- **Centripetal Motion (Problems 18, 19, 20, 23):** 
  - Circular motion involves centripetal force, which keeps an object moving along a circular path.
  - Velocity in circular motion depends on the radius and rotation speed.

- **Earth’s Orbit (Problem
Transcribed Image Text:### Educational Content Transcription --- **Problem 17: CD-ROM Drive Dynamics** - A CD-ROM drive in a computer spins the 12-cm-diameter disks at 7300 rpm. - What is a disk's period in seconds? - What is a disk's frequency in revolutions per second? **Problem 18: Carousel Kinematics** - The horse on a carousel is 4.1 m from the central axis. If the carousel rotates at 0.14 revolutions per second: - How long does it take the horse to go around twice? - How fast is a child on the horse going (in meters per second)? **Problem 19: Earth’s Orbital Motion** - The radius of the earth’s nearly circular orbit around the sun is 1.50 × 10¹¹ meters. - Find the magnitude of the earth’s velocity as it travels around the sun. Assume a year of 365 days. - Find the magnitude of the earth’s centripetal acceleration as it travels around the sun. **Problem 20: Wind Turbine Dynamics** - Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the blade’s tips can be quite high—many times higher than the wind speed. A turbine that spins at 14 rpm has blades: - At the tip of a blade, what is the speed? - At the tip of a blade, what is the centripetal acceleration? **Problem 23: Human Centrifuge Experience** - To withstand "g-forces" of up to 10g, caused by suddenly pulling out of a steep dive, fighter pilots train on a "human centrifuge." 10g is an acceleration of 9.8 m/s². - If the length of the centrifuge arm is 14 m, at what speed is the rider moving when she experiences this acceleration? --- ### Explanation of Concepts - **Period and Frequency (Problem 17):** - The period is the time it takes to complete one cycle, while frequency is the number of cycles per unit of time. - **Centripetal Motion (Problems 18, 19, 20, 23):** - Circular motion involves centripetal force, which keeps an object moving along a circular path. - Velocity in circular motion depends on the radius and rotation speed. - **Earth’s Orbit (Problem
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