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.

Question

Physics

Swiss Miss

25 September, 09:06

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.

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Cozmo · 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