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A servo-driven actuator is programmed to extend according to the velocity profile shown in figure P7.10. Determine the maximum acceleration, maximum deceleration, and linear displacement during this programmed move

A servo-driven actuator is programmed to extend according to the velocity profile shown in figure P7.10. Determine the maximum acceleration, maximum deceleration, and linear displacement during this programmed move

Elements Of Electromagnetics
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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A servo-driven actuator is programmed to extend according to the velocity profile shown in
figure P7.10. Determine the maximum acceleration, maximum deceleration, and linear
displacement during this programmed move

The image displays a velocity vs. time graph, where velocity \( v \) is measured in inches per second (in/s) and time \( t \) is measured in seconds (sec). **Graph Description:** 1. **Axes:** - The vertical axis represents velocity \( v \) (in/s). - The horizontal axis represents time \( t \) (sec). 2. **Graph Sections:** - **0 to 2 seconds**: The velocity increases linearly from 0 in/s to 10 in/s. This indicates a constant acceleration during this time interval. - **2 to 8 seconds**: The velocity remains constant at 10 in/s, forming a plateau. This indicates uniform motion with no acceleration. - **8 to 10 seconds**: The velocity decreases linearly from 10 in/s back to 0 in/s. This shows a constant deceleration. - **10 to 12 seconds**: The velocity is 0 in/s, indicating the object is at rest. This graph provides a clear visualization of an object's motion through acceleration, constant velocity, and deceleration phases.
Transcribed Image Text:The image displays a velocity vs. time graph, where velocity \( v \) is measured in inches per second (in/s) and time \( t \) is measured in seconds (sec). **Graph Description:** 1. **Axes:** - The vertical axis represents velocity \( v \) (in/s). - The horizontal axis represents time \( t \) (sec). 2. **Graph Sections:** - **0 to 2 seconds**: The velocity increases linearly from 0 in/s to 10 in/s. This indicates a constant acceleration during this time interval. - **2 to 8 seconds**: The velocity remains constant at 10 in/s, forming a plateau. This indicates uniform motion with no acceleration. - **8 to 10 seconds**: The velocity decreases linearly from 10 in/s back to 0 in/s. This shows a constant deceleration. - **10 to 12 seconds**: The velocity is 0 in/s, indicating the object is at rest. This graph provides a clear visualization of an object's motion through acceleration, constant velocity, and deceleration phases.
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