A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.176 rad/s². After making 2870 revolutions, its angular speed is 129 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up? (a) Number i Units (b) Number i Units

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### Physics Problem: Wind Turbine Angular Acceleration

#### Problem Statement
A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration of 0.176 rad/s². After making 2870 revolutions, its angular speed is 129 rad/s.

**Questions:**
(a) What is the initial angular velocity of the turbine?  
(b) How much time elapses while the turbine is speeding up?

#### Solution Steps
To solve this problem, you'll need to use the equations of angular motion.

---

#### Input Fields for Calculation

(a) **Initial Angular Velocity (ω₀)**
- Input field for numerical value
- Dropdown for units (e.g., rad/s)

(b) **Time Elapsed (t)**
- Input field for numerical value
- Dropdown for units (e.g., seconds)

---

Please fill in the values for these quantities based on your calculations. Use the provided formulas for angular motion to derive the required values.

**Note:** Ensure your answers include appropriate units for better clarity and accuracy.
Transcribed Image Text:### Physics Problem: Wind Turbine Angular Acceleration #### Problem Statement A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration of 0.176 rad/s². After making 2870 revolutions, its angular speed is 129 rad/s. **Questions:** (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up? #### Solution Steps To solve this problem, you'll need to use the equations of angular motion. --- #### Input Fields for Calculation (a) **Initial Angular Velocity (ω₀)** - Input field for numerical value - Dropdown for units (e.g., rad/s) (b) **Time Elapsed (t)** - Input field for numerical value - Dropdown for units (e.g., seconds) --- Please fill in the values for these quantities based on your calculations. Use the provided formulas for angular motion to derive the required values. **Note:** Ensure your answers include appropriate units for better clarity and accuracy.
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