Maximum acceleration machine problem

In summary, the maximum acceleration of the vibration trace is 1000 m/s2, with a maximum frequency of 25 Hz and a maximum amplitude of 0.05m. However, the machine may not be capable of faithfully reproducing this vibration trace as it would require a maximum acceleration of 1233 m/s2. This was determined using the equation max acceleration = Aw^2, where w is equal to 2 pi f. Other recent questions have been sent via private message.
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Homework Statement



Analysis of the recording shows a maximum acceleration is of 1000 m/s2 .
Given that 25 Hz is the maximum frequency and the maximum amplitude is 0.05m,
will the machine be capable of faithfully reproducing this vibration trace?

Homework Equations

The attempt at a solution[/b]

max acceleration = Aw^2
= 0.05*w^2

w= 2 pi f
= 2 pi * 25
=50 pi

max acelration= 1233 m/s2

machine won't be able to reproduce these vibration as more accerleartion is needed...1233, as analsis only shows max accelration as 1000 m/s2

is this correct??
 
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  • #2
It's GRRREAT!
 
  • #3
meaning?

great...u mean correct??

10/10?

Dick can you please check my other quesitons they are all recetnly posted.
THANKS

IMY786
 
  • #4
Yes. It's correct. What post in particular are you worried about?
 
  • #5
iv sent u...on private message
 

1. What is the Maximum Acceleration Machine Problem?

The Maximum Acceleration Machine Problem is a mathematical problem in which the goal is to find the maximum acceleration a machine can achieve while still maintaining a certain level of precision. This problem is often encountered in engineering and physics fields.

2. How is the Maximum Acceleration Machine Problem solved?

The problem is typically solved by using various mathematical techniques, such as calculus and optimization algorithms. The specific approach will depend on the specific parameters and constraints of the problem.

3. What are the applications of the Maximum Acceleration Machine Problem?

The Maximum Acceleration Machine Problem has various applications in engineering, physics, and other scientific fields. It can be used to design machines and systems that can achieve maximum acceleration while maintaining precision, such as in robotics or aerospace technology.

4. What are the challenges in solving the Maximum Acceleration Machine Problem?

One of the main challenges in solving this problem is accurately modeling and predicting the behavior of the machine or system. This requires a thorough understanding of the physical principles involved, as well as the ability to account for external factors and limitations.

5. How is the Maximum Acceleration Machine Problem relevant to real-world scenarios?

The problem is highly relevant in real-world scenarios, as it can help engineers and scientists optimize the performance of machines and systems. It can also be used to determine the feasibility of certain designs and to identify potential areas for improvement.

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