The disk rolls without slipping such that it has an angular acceleration of a 8 rad/s² and angular velocity of w = 3.2 rad/s at the instant shown. Assume point A lies on the periphery of the disk, 150 mm from C. (Eigure 1) Figure 150 mm 500 mm 400 mm <1 of 1 > B Part A Determine the magnitude of the acceleration of point A on the link. Express your answer to three significant figures and include the appropriate units. aA = Submit Part B μA Oax= Value 4 Request Answer Units Determine the direction of the acceleration of point A on the link. Express your answer using three significant figures. VE] ΑΣΦ | 41 ? vec ? °, measured clockwise from the positive z-axis

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Part C

**Determine the acceleration of point B on the link.**  
Express your answer to three significant figures and include the appropriate units.

- Input Box:
  - Label: \((a_B)_x =\)
  - Fields: 
    - Value: [Input box]
    - Units: [Input box]

  [Submit Button] [Request Answer Link]

### Part D

**Determine the link's angular acceleration at this instant measured clockwise.**  
Express your answer using three significant figures. Enter a positive value if the angular acceleration is clockwise and a negative value if the angular acceleration is counterclockwise.

- Input Box:
  - Label: \(\alpha_{link} =\)
  - Field: [Input box] rad/s\(^2\)
Transcribed Image Text:### Part C **Determine the acceleration of point B on the link.** Express your answer to three significant figures and include the appropriate units. - Input Box: - Label: \((a_B)_x =\) - Fields: - Value: [Input box] - Units: [Input box] [Submit Button] [Request Answer Link] ### Part D **Determine the link's angular acceleration at this instant measured clockwise.** Express your answer using three significant figures. Enter a positive value if the angular acceleration is clockwise and a negative value if the angular acceleration is counterclockwise. - Input Box: - Label: \(\alpha_{link} =\) - Field: [Input box] rad/s\(^2\)
## Educational Text for Physics Problem

### Problem Statement

The disk rolls without slipping such that it has an angular acceleration of \(\alpha = 8 \, \text{rad/s}^2\) and an angular velocity of \(\omega = 3.2 \, \text{rad/s}\) at the instant shown. Assume point \(A\) lies on the periphery of the disk, which is 150 mm from \(C\). (Refer to Figure 1)

### Figure Description

The figure illustrates a disk, shown in blue, with a fixed point \(C\) at its center. A point \(A\) lies on the periphery of the disk, and the distance \(AC\) is 150 mm. The disk has a radius of 500 mm. The \(x\)-axis and \(y\)-axis are marked to show orientation, with 400 mm marked along the \(x\)-axis from the disk's edge to point \(B\).

### Tasks

#### Part A: Magnitude of Acceleration

Determine the magnitude of the acceleration of point \(A\) on the link.

- **Instruction**: Express your answer to three significant figures and include the appropriate units.
- **Input Box**: Enter the value of \(a_A\).

#### Part B: Direction of Acceleration

Determine the direction of the acceleration of point \(A\) on the link.

- **Instruction**: Express your answer using three significant figures.
- **Input Box**: Enter the angle \(\theta_{a_A}\), measured clockwise from the positive \(x\)-axis.

**Note**: There is a diagram showing tools for formatting the answers in both parts, including unit symbols and vector notation.
Transcribed Image Text:## Educational Text for Physics Problem ### Problem Statement The disk rolls without slipping such that it has an angular acceleration of \(\alpha = 8 \, \text{rad/s}^2\) and an angular velocity of \(\omega = 3.2 \, \text{rad/s}\) at the instant shown. Assume point \(A\) lies on the periphery of the disk, which is 150 mm from \(C\). (Refer to Figure 1) ### Figure Description The figure illustrates a disk, shown in blue, with a fixed point \(C\) at its center. A point \(A\) lies on the periphery of the disk, and the distance \(AC\) is 150 mm. The disk has a radius of 500 mm. The \(x\)-axis and \(y\)-axis are marked to show orientation, with 400 mm marked along the \(x\)-axis from the disk's edge to point \(B\). ### Tasks #### Part A: Magnitude of Acceleration Determine the magnitude of the acceleration of point \(A\) on the link. - **Instruction**: Express your answer to three significant figures and include the appropriate units. - **Input Box**: Enter the value of \(a_A\). #### Part B: Direction of Acceleration Determine the direction of the acceleration of point \(A\) on the link. - **Instruction**: Express your answer using three significant figures. - **Input Box**: Enter the angle \(\theta_{a_A}\), measured clockwise from the positive \(x\)-axis. **Note**: There is a diagram showing tools for formatting the answers in both parts, including unit symbols and vector notation.
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