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. As an example, find the maximum acceleration of a beamthat vibrates with an amplitude of 0.27 mm at the rate of 117 vibrations per second. Give your answer as amultiple of g.
g
Your response differs from the correct answerby orders of magnitude.g

Explanation / Answer

   Maximum acceleration   a   =   -2 * A    Here   angularfrequency      =   2* f                                                 =   2* 3.14 * 117                                                 =   734.76   rad/s             Amplitude   A   =   0.27   mm                                     =   0.27* 10-3   m    a   =   734.762* 0.27 * 10-3          =   145.77   m/s2    ( - ve sign is dropped as it indicates thedirection only)    In terms ofg,         a /g   =   145.77 / 9.8                                     =>   a   =   14.87* g       ( - ve sign is dropped as it indicates thedirection only)    In terms ofg,         a /g   =   145.77 / 9.8                                     =>   a   =   14.87* g   

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.