A computer to be used in a satellite must be able to withstand accelerations of

Question

A computer to be used in a satellite must be able to withstand accelerations of up to 23 times the acceleration due to gravity. In a test to see whether 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 9.35 Hz. What is the minimum amplitude of vibration that must be used in this test?

**** I've tried this problem on my own and still cannot figure out what I am doing wrong. I've gotten 5 different answers and these are incorrect: 3.84, 6.53, 0.2053, 0.1306, and 0.653 m. Please do not duplicate these answers.

Explanation / Answer

a = acceleration = 23g

f = frequency = 9.35 hz

Amplitude, A = ?

w angular frequency = 2*pi*f

in S.H.M , acceleration ,a = w2y

y ( displacement or minimum amplitude) = a/ w2

= 23*g / 4*(pi)2*f2

= 23*9.8 / 4*(3.14)2*(9.35)2

= 0.0653 m

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