Unit 3: Momentum and Rotational Motion Module 2: Angular Kinematics and Tangential Quantities 3. Make Up Your Own Problem Biology at lohen e Conla Notice motion features T 2. A0 = wot +at? 1. wr = wo + at O steady pace O speeding up O slowing down O changing direction object sketch sketch 3. w? = wo? + 2a4® Examine ?? vectors j axis Write known/unknown variables want? w.o

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Make your own problem with those information they give

**Unit 3: Momentum and Rotational Motion**

**Module 2: Angular Kinematics and Tangential Quantities**

**3. Make Up Your Own Problem**

---

**Notice motion features**

- **Object**:
  - [ ] Steady pace
  - [ ] Speeding up
  - [ ] Slowing down
  - [ ] Changing direction

- **Sketch**: (The sketch area shows a circular motion diagram with vectors.)

**Examine vectors**

- Diagram shows a circular path with vectors indicating:
  - Initial angular velocity (\(\omega_0\))
  - Linear acceleration (\(a_t\))
  - With a marked axis of rotation

**Write known/unknown variables**

- Want?
  - \( \Delta \theta = ? \)
  - Highlighted in yellow

- Known:
  - \( \omega{}_{0} = 15 \, \text{rad/s} \)
  - \( t = 1.6 \, \text{s} \)

**Formulas**

Three equations are provided:

1. \( \omega_{f} = \omega_{0} + \alpha t \)
2. \( \Delta \theta = \omega_{0}t + \frac{1}{2} \alpha t^2 \)
3. \( \omega_{f}^{2} = \omega_{0}^{2} + 2\alpha \Delta \theta \)

**Contextual Example**

- A biology laboratory apparatus is rotating at an angular speed of 180°/min. When switched off, it gradually stops over a span of time due to the constant angular deceleration. Calculate the angular displacement during this time.

**Accompanying Exercise**

*Andrea and Jacob are riding on a merry-go-round. Andrea rides on a...* (text cuts off)

This structure provides a framework for creating and solving rotational motion problems, emphasizing the understanding and application of angular kinematics principles.
Transcribed Image Text:**Unit 3: Momentum and Rotational Motion** **Module 2: Angular Kinematics and Tangential Quantities** **3. Make Up Your Own Problem** --- **Notice motion features** - **Object**: - [ ] Steady pace - [ ] Speeding up - [ ] Slowing down - [ ] Changing direction - **Sketch**: (The sketch area shows a circular motion diagram with vectors.) **Examine vectors** - Diagram shows a circular path with vectors indicating: - Initial angular velocity (\(\omega_0\)) - Linear acceleration (\(a_t\)) - With a marked axis of rotation **Write known/unknown variables** - Want? - \( \Delta \theta = ? \) - Highlighted in yellow - Known: - \( \omega{}_{0} = 15 \, \text{rad/s} \) - \( t = 1.6 \, \text{s} \) **Formulas** Three equations are provided: 1. \( \omega_{f} = \omega_{0} + \alpha t \) 2. \( \Delta \theta = \omega_{0}t + \frac{1}{2} \alpha t^2 \) 3. \( \omega_{f}^{2} = \omega_{0}^{2} + 2\alpha \Delta \theta \) **Contextual Example** - A biology laboratory apparatus is rotating at an angular speed of 180°/min. When switched off, it gradually stops over a span of time due to the constant angular deceleration. Calculate the angular displacement during this time. **Accompanying Exercise** *Andrea and Jacob are riding on a merry-go-round. Andrea rides on a...* (text cuts off) This structure provides a framework for creating and solving rotational motion problems, emphasizing the understanding and application of angular kinematics principles.
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