A block moves outward along the slot in the platform with a speed of -= (10t) m/s, where t is in seconds. The platform rotates at a constant rate of é = 10 rad/s. (Figure 1) Part A If the block starts from rest at the center, determine the magnitude of its velocity when t = 1 s. Express your answer to three significant figures and include the appropriate units. ? v = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part B If the block starts from rest at the center, determine the magnitude of its acceleration when t=1s. Express your answer to three significant figures and include the appropriate units. HA ? Value Units a = Submit Request Answer Figure < 1 of 1 > < Return to Assignment Provide Feedback

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Educational Exercise on Rotational Dynamics

**Problem Statement:**
A block moves outward along the slot in the platform with a speed of \( \dot{r} = (10t) \ \text{m/s} \), where \( t \) is in seconds. The platform rotates at a constant rate of \( \dot{\theta} = 10 \ \text{rad/s} \).

**Figure 1:**
![Figure 1](figure1.png)
  
The figure illustrates a circular platform with a slot through which a block is moving outward. The block’s position is described using polar coordinates, where \( r \) is the radial distance of the block from the center, and \( \theta \) is the angular position.

---

### Part A

**Question:**
If the block starts from rest at the center, determine the magnitude of its velocity when \( t = 1 \ \text{s} \). Express your answer to three significant figures and include the appropriate units.

**Solution:**

```
v = [Input Field] Units
[Submit Button] [Request Answer Button]
```

**Note:** An incorrect submission attempt is shown with a warning indicating the user has 2 attempts remaining.

---

### Part B

**Question:**
If the block starts from rest at the center, determine the magnitude of its acceleration when \( t = 1 \ \text{s} \). Express your answer to three significant figures and include the appropriate units.

**Solution:**

```
a = [Input Field] Units
[Submit Button] [Request Answer Button]
```

### Figure Explanation:
The figure represents a top-down view of a rotating platform:

- The platform is circular.
- There is a slot in which the block moves outward radially.
- \( r \) represents the radial distance, starting from the center.
- \( \theta \) represents the angular position of the block, which rotates with the platform.
- The block's motion combines radial outward movement and rotational movement.

**Graphical Interpretation:**
- The block's speed outward along the slot is given by \( \dot{r} = 10t \ \text{m/s} \).
- The platform's rotational speed is constant at \( \dot{\theta} = 10 \ \text{rad/s} \).

---

**Navigation:**
- [Return to Assignment]
- [Provide Feedback]
Transcribed Image Text:### Educational Exercise on Rotational Dynamics **Problem Statement:** A block moves outward along the slot in the platform with a speed of \( \dot{r} = (10t) \ \text{m/s} \), where \( t \) is in seconds. The platform rotates at a constant rate of \( \dot{\theta} = 10 \ \text{rad/s} \). **Figure 1:** ![Figure 1](figure1.png) The figure illustrates a circular platform with a slot through which a block is moving outward. The block’s position is described using polar coordinates, where \( r \) is the radial distance of the block from the center, and \( \theta \) is the angular position. --- ### Part A **Question:** If the block starts from rest at the center, determine the magnitude of its velocity when \( t = 1 \ \text{s} \). Express your answer to three significant figures and include the appropriate units. **Solution:** ``` v = [Input Field] Units [Submit Button] [Request Answer Button] ``` **Note:** An incorrect submission attempt is shown with a warning indicating the user has 2 attempts remaining. --- ### Part B **Question:** If the block starts from rest at the center, determine the magnitude of its acceleration when \( t = 1 \ \text{s} \). Express your answer to three significant figures and include the appropriate units. **Solution:** ``` a = [Input Field] Units [Submit Button] [Request Answer Button] ``` ### Figure Explanation: The figure represents a top-down view of a rotating platform: - The platform is circular. - There is a slot in which the block moves outward radially. - \( r \) represents the radial distance, starting from the center. - \( \theta \) represents the angular position of the block, which rotates with the platform. - The block's motion combines radial outward movement and rotational movement. **Graphical Interpretation:** - The block's speed outward along the slot is given by \( \dot{r} = 10t \ \text{m/s} \). - The platform's rotational speed is constant at \( \dot{\theta} = 10 \ \text{rad/s} \). --- **Navigation:** - [Return to Assignment] - [Provide Feedback]
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