What Amplitude Ensures a Computer Withstands 32g in Simple Harmonic Motion?

Click For Summary
SUMMARY

The discussion focuses on determining the minimum amplitude of vibration required for a computer to withstand accelerations of up to 32g during testing in simple harmonic motion at a frequency of 11.4 Hz. Participants clarify that the maximum acceleration can be calculated by multiplying the gravitational acceleration (9.8 m/s²) by 32, resulting in 313.6 m/s². The conversation emphasizes the importance of understanding oscillation parameters, including displacement as a function of time, to solve the problem effectively.

PREREQUISITES
  • Understanding of simple harmonic motion and its parameters
  • Knowledge of angular frequency and its relation to frequency
  • Familiarity with acceleration calculations in physics
  • Ability to express displacement as a function of time in oscillatory systems
NEXT STEPS
  • Research the formulas for displacement and acceleration in simple harmonic motion
  • Learn about the relationship between frequency, angular frequency, and amplitude
  • Explore practical applications of simple harmonic motion in engineering contexts
  • Study the effects of varying amplitude on the performance of systems under oscillation
USEFUL FOR

Engineers, physicists, and students involved in aerospace technology, particularly those focused on the durability of electronic components under extreme conditions.

kpangrace
Messages
17
Reaction score
0
A computer to be used in a satellite must be able to withstand accelerations of up to 32 times the acceleration due to gravity. In a test to see if it meets this specification, the computer is bolted to a frame that is vibrated back and forth in simple harmonic motion at a frequency of 11.4 Hz. What is the minimum amplitude of vibration that must be used in this test?



okkkkkk so let's see here, I'm kind of lost and need this last problem solved...

here's what i know

I have the angular frequency, as well as the period, i found those easily enough.

I'm assuming you just multiply 9.8 times 32 and that gives you an acceleration...

but at this point I'm completely stuck...

do I have to use kinetic and potential energy formulas or is it something extremely simple that I'm missing...

any help would be appreciated, and fast!
 
Physics news on Phys.org
do you know the location as a function of time?
do you know the vwlocity as a function of time?
do you know the acceleration as a function of time?

The MAXIMUM acceleration has units [meters/second^2] ...
What kind of "important parameter" in an oscillation has units [m]?
What kind of "important parameter" of an oscillation has units [1/s]?
 
Last edited by a moderator:

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
7K