Discussion
For a damping ratio of 0.7, the damped natural frequency is what fraction of the undamped natural frequency?
Answer: C
The relation is \( \omega_d = \omega_n\sqrt{1-\zeta^{2}} \), and with \( \zeta = 0.7 \) the factor is \( \sqrt{1-0.49} = \sqrt{0.51} = 0.714 \), so about seventy-one per cent. At the light damping of a phugoid the two frequencies are indistinguishable, but at a well-damped short period the distinction is worth thirty per cent and must not be dropped. 0.300 is \( 1-\zeta^{2} \) misread as the answer without the root, or \( 1-\zeta \) rounded. 0.860 is the factor for \( \zeta = 0.5 \). Unity would require zero damping.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development