Question

Military specifications often call for electronic devices to be able to withstand accelerations of 10 g. to make sure that their products meet this specification, manufacturers test them using a shaking table that can vibrate a device at various specified frequencies and amplitudes. if a device is given a vibration of amplitude 9.4 cm, what should be its frequency in order to test for compliance with the 10 g military specification? the acceleration of gravity is 9.81 m/s 2 . answer in units of hz.

Answer 1

The solution for this problem is:
(10 x 9.8) = 98.1 m/sec^2 acceleration. Time, to travel 9.4cm or (.094m.), at acceleration of 98m/sec^2

= sqrt(2d/a), = sqrt (98.1 m/sec^2/0.094m) = 32.3050619 sec per cycle

Frequency = (w/2pi), = 32.3050619/2pi
= 32.3050619/6.28318531
= 5.14 Hz would be the answer