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The two gears in the picture below on the left are meshing together. The two gears in the picture on the right are stuck together and are on the same shaft. Which of these statements is true when the gears are turning

The two gears in the picture below on the left are meshing together. The two gears in the picture on the right are stuck together and are on the same shaft. Which of these statements is true when the gears are turning

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The two gears in the picture below on the left are meshing together. The two gears in the picture on the right are stuck together and are on the same shaft. Which of these statements is true when the gears are turning? (There may be more than one correct answer).

A. The two meshing gears have the same |ω|

B. The two gears on the same shaft have the same |ω|

C. The two meshing gears turn through the same magnitude of arc-length in the same time

D. The two gears on the same shaft turn through the same magnitude of arc-length in the same time

The image displays three mechanical gears. **On the left:** - Two gears are shown in a schematic or illustrative style. - The smaller gear on the left has 15 teeth, while the larger gear on the right has 30 teeth. - Both gears share the same axis, implying that they are likely part of a gear train, demonstrating how torque and speed can be transferred between shafts in mechanical systems. **On the right:** - A physical, metallic gear with a smaller gear mounted on top of it is depicted. - This combination suggests a compound gear, which is used to combine the effects of two gears into one assembly, often to achieve a higher gear ratio in compact spaces. **Explanation:** Gears are integral components in mechanisms used to alter the speed, force, or direction of motion. They function on the principles of rotational motion, where the driving gear causes the driven gear to move. Gears with different sizes and numbers of teeth will rotate at varying speeds. For example, a smaller gear driving a larger one will decrease the rotational speed but increase torque and vice versa. This image is relevant for understanding the basics of gear mechanisms, which are foundational in engineering fields like mechanical design, robotics, and automotive technology.
Transcribed Image Text:The image displays three mechanical gears. **On the left:** - Two gears are shown in a schematic or illustrative style. - The smaller gear on the left has 15 teeth, while the larger gear on the right has 30 teeth. - Both gears share the same axis, implying that they are likely part of a gear train, demonstrating how torque and speed can be transferred between shafts in mechanical systems. **On the right:** - A physical, metallic gear with a smaller gear mounted on top of it is depicted. - This combination suggests a compound gear, which is used to combine the effects of two gears into one assembly, often to achieve a higher gear ratio in compact spaces. **Explanation:** Gears are integral components in mechanisms used to alter the speed, force, or direction of motion. They function on the principles of rotational motion, where the driving gear causes the driven gear to move. Gears with different sizes and numbers of teeth will rotate at varying speeds. For example, a smaller gear driving a larger one will decrease the rotational speed but increase torque and vice versa. This image is relevant for understanding the basics of gear mechanisms, which are foundational in engineering fields like mechanical design, robotics, and automotive technology.
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