A pressure transducer has an undamped natural frequency of 5

A pressure transducer has an undamped natural frequency of 5800 Hz a critical damping ratio of 75 %. Which of these two testing frequency ranges is the better choice? you most show work 0.400 Hx 0.7150 Hz

Solution

x=0.75

fr=f*Sqrt(1-x*x)

fr=5800*sqrt(1-0.75*0.75)

fr=approximately 4000Hz

answer is option (a)