The angular velocity vs. time for a fan on a hovercraft is shown below. Find the angle through which the fan blades rotate in the first 8 seconds. 400 300 200 100 Rev/min 0 -O 0 1 2 w. 3 4 55 Time (s) -6 7 T 8

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The text reads: "The angular velocity vs. time for a fan on a hovercraft is shown below. Find the angle through which the fan blades rotate in the first 8 seconds."

**Graph Explanation:**

- **Title**: Angular Velocity vs. Time
- **Axes**:
  - The horizontal axis represents Time in seconds (s), ranging from 0 to 8 seconds.
  - The vertical axis represents Angular Velocity in revolutions per minute (rev/min), ranging from 0 to 400 rev/min.
- **Line Graph**:
  - The graph is a straight line with a positive slope, starting at the origin (0,0) and ending at the point (8, 400).
  - This indicates that angular velocity increases linearly with time.

To find the angle through which the fan blades rotate in the first 8 seconds, you can calculate the area under the graph, which represents the total revolutions.
Transcribed Image Text:The text reads: "The angular velocity vs. time for a fan on a hovercraft is shown below. Find the angle through which the fan blades rotate in the first 8 seconds." **Graph Explanation:** - **Title**: Angular Velocity vs. Time - **Axes**: - The horizontal axis represents Time in seconds (s), ranging from 0 to 8 seconds. - The vertical axis represents Angular Velocity in revolutions per minute (rev/min), ranging from 0 to 400 rev/min. - **Line Graph**: - The graph is a straight line with a positive slope, starting at the origin (0,0) and ending at the point (8, 400). - This indicates that angular velocity increases linearly with time. To find the angle through which the fan blades rotate in the first 8 seconds, you can calculate the area under the graph, which represents the total revolutions.
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