For a short time, gear A of the automobile starter rotates with an angular acceleration of α₁ (450+² +40) rad/s², where t is in seconds. (Eigure 1) Figure < 1 of 1 > ▼ Part A Determine the angular velocity of gear B when t = 2 s, starting from rest. The radii of gears A and B are 10 mm and 25 mm, respective Express your answer to three significant figures and include the appropriate units. WB= Submit Part B OB = Submit μÀ Value Request Answer Determine the angular displacement of gear B when t = 2 s, starting from rest. Express your answer to three significant figures and include the appropriate units. Provide Feedback μA Value Units Request Answer Units ? pwy ?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Educational Content: Automotive Starter Gear Analysis

For a short time, gear \( A \) of the automobile starter rotates with an angular acceleration given by:

\[
\alpha_A = (45t^2 + 40) \, \text{rad/s}^2
\]

where \( t \) is in seconds. (Refer to **Figure 1** for a visual representation.)

#### Figure Description:
The figure illustrates a mechanical configuration of an automobile starter. It depicts gears labeled \( A \) and \( B \). These gears are part of a system that transfers rotational motion to start the vehicle.

### Problem-Solving Parts:

#### Part A:
You need to determine the angular velocity of gear \( B \) when \( t = 2 \, \text{s} \), assuming the system starts from rest. The radii of gears \( A \) and \( B \) are 10 mm and 25 mm, respectively.

- **Task:** Express the angular velocity \( \omega_B \) in terms of three significant figures and include the appropriate units.

#### Input: 
\[
\omega_B = \text{Value} \,\, \text{Units}
\]

Submit your solution using the provided input box.

#### Part B:
Determine the angular displacement of gear \( B \) when \( t = 2 \, \text{s} \), with the system starting from rest.

- **Task:** Express the angular displacement \( \theta_B \) with three significant figures and include the appropriate units.

#### Input:
\[
\theta_B = \text{Value} \,\, \text{Units}
\]

Enter your response and submit for evaluation.

### Additional Features:
For both Parts A and B, utilize the submission buttons to submit your calculations. You may request feedback or hints by selecting the "Request Answer" option.

This exercise is designed to enhance understanding of angular kinematics and gear systems in automotive engineering contexts.
Transcribed Image Text:### Educational Content: Automotive Starter Gear Analysis For a short time, gear \( A \) of the automobile starter rotates with an angular acceleration given by: \[ \alpha_A = (45t^2 + 40) \, \text{rad/s}^2 \] where \( t \) is in seconds. (Refer to **Figure 1** for a visual representation.) #### Figure Description: The figure illustrates a mechanical configuration of an automobile starter. It depicts gears labeled \( A \) and \( B \). These gears are part of a system that transfers rotational motion to start the vehicle. ### Problem-Solving Parts: #### Part A: You need to determine the angular velocity of gear \( B \) when \( t = 2 \, \text{s} \), assuming the system starts from rest. The radii of gears \( A \) and \( B \) are 10 mm and 25 mm, respectively. - **Task:** Express the angular velocity \( \omega_B \) in terms of three significant figures and include the appropriate units. #### Input: \[ \omega_B = \text{Value} \,\, \text{Units} \] Submit your solution using the provided input box. #### Part B: Determine the angular displacement of gear \( B \) when \( t = 2 \, \text{s} \), with the system starting from rest. - **Task:** Express the angular displacement \( \theta_B \) with three significant figures and include the appropriate units. #### Input: \[ \theta_B = \text{Value} \,\, \text{Units} \] Enter your response and submit for evaluation. ### Additional Features: For both Parts A and B, utilize the submission buttons to submit your calculations. You may request feedback or hints by selecting the "Request Answer" option. This exercise is designed to enhance understanding of angular kinematics and gear systems in automotive engineering contexts.
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