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

AI Thread Summary
A computer intended for satellite use must endure accelerations up to 32g, equating to 313.6 m/s². Testing involves vibrating the computer in simple harmonic motion at a frequency of 11.4 Hz. To determine the minimum amplitude required for this test, the relationship between acceleration, frequency, and amplitude must be applied. Key parameters include maximum acceleration, which is measured in meters per second squared, and the angular frequency related to the oscillation. Understanding these concepts is crucial for solving the problem effectively.
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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!
 
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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]?
 
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