A vibrating structural beam in a spacecraft can cause problems ifthe frequency o

Question

A vibrating structural beam in a spacecraft can cause problems ifthe frequency of vibration is fairly high. Even if the amplitude ofvibration is only a fraction of a millimeter, the acceleration ofthe beam can be several times greater than the acceleration due togravity.

Question 1:
As an example, find the maximum acceleration of a beam thatvibrates with an amplitude of 0.28 mm at the rate of 140 vibrationsper second.

Question 2:
Give your answer as a multipleof g .
Give your answer as a multipleof g .

Explanation / Answer

  (1)       The maximum acceleration a =-A2             = (0.28*10-3 m) (2 *140)          =246.*10-3 m/s2
  (2)    Acceleration a =25g.*10-3 m/s2
  (2)    Acceleration a =25g.*10-3 m/s2

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