A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 3.40 x 102 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time?

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A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 3.40 x 102 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time?

The image depicts a diagram of a large, rotating cylindrical structure with two labeled parts, A and B. 

### Description

- **Part A**: Represents an inner circular section of the structure.
- **Part B**: Represents an outer circular section, indicating a larger ring surrounding Part A.

### Measurements

- **Radius of A (r_A)**: 3.20 x 10² meters
- **Radius of B (r_B)**: 1.10 x 10³ meters

### Additional Details

- **Arrows**: Indicate the direction of rotation around the central axis.
  
This schematic might be representative of a space station design or rotational system intended to simulate gravity through centrifugal force. The different radii suggest varying gravitational forces experienced in sections A and B.
Transcribed Image Text:The image depicts a diagram of a large, rotating cylindrical structure with two labeled parts, A and B. ### Description - **Part A**: Represents an inner circular section of the structure. - **Part B**: Represents an outer circular section, indicating a larger ring surrounding Part A. ### Measurements - **Radius of A (r_A)**: 3.20 x 10² meters - **Radius of B (r_B)**: 1.10 x 10³ meters ### Additional Details - **Arrows**: Indicate the direction of rotation around the central axis. This schematic might be representative of a space station design or rotational system intended to simulate gravity through centrifugal force. The different radii suggest varying gravitational forces experienced in sections A and B.
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