### Gear Angular Velocity Problem**Problem Statement:**A motor gives gear \( A \) an angular acceleration of \[\alpha_A = (2t^3) \, \text{rad/s}^2\]where \( t \) is in seconds. (Refer to Figure 1)**Task (Part A):**If gear \( A \) is initially turning at \( \omega_A = 19 \, \text{rad/s} \), determine the angular velocity of gear \( B \) when \( t = 3 \, \text{s} \), measured counterclockwise.- **Constraints:** Express your answer in radians per second to three significant figures.- **Instructions:** Enter a positive value if the angular velocity is counterclockwise, and a negative value if the angular velocity is clockwise.**Input Box:**\[\omega_B = \, \_\_\_ \, \text{rad/s}\][Submit]**Figure Explanation:**- The figure shows two gears. - Gear \( A \) has a radius of 100 mm.- Gear \( B \) has a radius of 175 mm.- The directions \(\alpha_A\) and \(\omega_A\) for gear \( A \) are labeled, indicating angular acceleration and angular velocity respectively.- The directions for gear \( B \) are labeled \(\alpha_B\) indicating the opposite angular motion in response to gear \( A \).**Additional Resources:**- [Provide Feedback]- [Request Answer]Please calculate the required angular velocity for gear \( B \) based on the given data and provide feedback for further assistance.

Given Data- Angular acceleration of gear A 2t^3 rad/s2 , Intial angular velocity og gear A =19 rad/s…

A motor gives gear A an angular acceleration of a₁ = (2+³) rad/s², where t is in seconds. (Figure 1) Figure 175 mm < 1 of 1 100 mm αA 00A Part A If this gear is initially turning at w = 19 rad/s, determine the angular velocity of gear B when t = 3 s, measured counterclockwise. Express your answer in radians per second to three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value the angular velocity is clockwise. 15| ΑΣΦ | 11 | vec WB = Submit Provide Feedback Request Answer ? rad/s Next >

A motor gives gear A an angular acceleration of a₁ = (2+³) rad/s², where t is in seconds. (Figure 1) Figure 175 mm < 1 of 1 100 mm αA 00A Part A If this gear is initially turning at w = 19 rad/s, determine the angular velocity of gear B when t = 3 s, measured counterclockwise. Express your answer in radians per second to three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value the angular velocity is clockwise. 15| ΑΣΦ | 11 | vec WB = Submit Provide Feedback Request Answer ? rad/s Next >

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

### Gear Angular Velocity Problem

**Problem Statement:**

A motor gives gear \( A \) an angular acceleration of

\[
\alpha_A = (2t^3) \, \text{rad/s}^2
\]

where \( t \) is in seconds. (Refer to Figure 1)

**Task (Part A):**

If gear \( A \) is initially turning at \( \omega_A = 19 \, \text{rad/s} \), determine the angular velocity of gear \( B \) when \( t = 3 \, \text{s} \), measured counterclockwise.

- **Constraints:** Express your answer in radians per second to three significant figures.
- **Instructions:** Enter a positive value if the angular velocity is counterclockwise, and a negative value if the angular velocity is clockwise.

**Input Box:**

\[
\omega_B = \, \_\_\_ \, \text{rad/s}
\]

[Submit]

**Figure Explanation:**

- The figure shows two gears.
- Gear \( A \) has a radius of 100 mm.
- Gear \( B \) has a radius of 175 mm.
- The directions \(\alpha_A\) and \(\omega_A\) for gear \( A \) are labeled, indicating angular acceleration and angular velocity respectively.
- The directions for gear \( B \) are labeled \(\alpha_B\) indicating the opposite angular motion in response to gear \( A \).

**Additional Resources:**

- [Provide Feedback]
- [Request Answer]

Please calculate the required angular velocity for gear \( B \) based on the given data and provide feedback for further assistance.

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