(Figure 1) shows the angular-velocity-versus-time graph for a particle moving in a circle. Part A How many revolutions does the object make during the first 4 s? Express your answer using two significant figures. ► View Available Hint(s) n = OF 15. ΑΣΦ Submit Provide Feedback ? revolutions

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Chapter1: Units, Trigonometry. And Vectors
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**Angular Velocity and Circular Motion**

*(Figure 1) shows the angular velocity versus time graph for a particle moving in a circle.*

**Graph Description:**
- **X-axis (Time, \( t \)):** Measured in seconds (s), ranging from 0 to 4 seconds.
- **Y-axis (Angular Velocity, \( \omega \)):** Measured in radians per second (rad/s), ranging from 0 to 20 rad/s.

**Plot Details:**
- From \( t = 0 \) to \( t = 2 \) seconds, the angular velocity remains constant at 10 rad/s.
- From \( t = 2 \) to \( t = 3 \) seconds, the angular velocity increases linearly from 10 rad/s to 20 rad/s.
- From \( t = 3 \) to \( t = 4 \) seconds, the angular velocity remains constant at 20 rad/s.

**Part A: Calculation Task**
- **Question:** How many revolutions does the object make during the first 4 seconds?
- **Instructions:** Express your answer using two significant figures.

To determine the total number of revolutions, the angular displacement over time should be calculated. This involves integrating the angular velocity over the time interval.

**Submit your response** in the designated input box once calculated.
Transcribed Image Text:**Angular Velocity and Circular Motion** *(Figure 1) shows the angular velocity versus time graph for a particle moving in a circle.* **Graph Description:** - **X-axis (Time, \( t \)):** Measured in seconds (s), ranging from 0 to 4 seconds. - **Y-axis (Angular Velocity, \( \omega \)):** Measured in radians per second (rad/s), ranging from 0 to 20 rad/s. **Plot Details:** - From \( t = 0 \) to \( t = 2 \) seconds, the angular velocity remains constant at 10 rad/s. - From \( t = 2 \) to \( t = 3 \) seconds, the angular velocity increases linearly from 10 rad/s to 20 rad/s. - From \( t = 3 \) to \( t = 4 \) seconds, the angular velocity remains constant at 20 rad/s. **Part A: Calculation Task** - **Question:** How many revolutions does the object make during the first 4 seconds? - **Instructions:** Express your answer using two significant figures. To determine the total number of revolutions, the angular displacement over time should be calculated. This involves integrating the angular velocity over the time interval. **Submit your response** in the designated input box once calculated.
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