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 7.24 Hz. What is the minimum amplitude of vibration that must be used in this test?

F = m w^2 r
a = w^2 r
but w = 2pi() F
and a = 23 * 9.8 = 225.4 m/s^2
so r = 225.4 /(2 * pi() * 7.24)^2
=0.11m
a = w^2 r
but w = 2pi() F
and a = 23 * 9.8 = 225.4 m/s^2
so r = 225.4 /(2 * pi() * 7.24)^2
=0.11m