Question

For a generic second order system, we want 2% setting time to be less than 5 sec. What is the minimum value of natural frequency for the system to have resonance? a. 1.13 b. 1 c. 0.8 d. Does not exist

Name: for a generic second order system we want 2 setting time to be less than 5 sec what is the minimum value of natural frequency for the system to have resonance a 113 b 1 c 08 d does not exist 20782
Uploaded: 2023-08-18T01:56:44-08:00
Duration: 1 min 42 s
Channel: Madhur L
Description: for a generic second order system we want 2 setting time to be less than 5 sec what is the minimum value of natural frequency for the system to have resonance a 113 b 1 c 08 d does not exist 20782

          For a generic second order system, we want 2% setting time to be less than 5 sec. What is the minimum value of natural frequency for the system to have resonance?
a. 1.13
b. 1
c. 0.8
d. Does not exist

for a generic second order system we want 2 setting time to be less than 5 sec what is the minimum value of natural frequency for the system to have resonance a 113 b 1 c 08 d does not exist 20782

Added by Todd P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

08/18/2023

Step 1

First, let's recall the formula for the 2% settling time for a second-order system: $$t_s = \frac{4}{\zeta \omega_n}$$ where $\zeta$ is the damping ratio and $\omega_n$ is the natural frequency. We are given that $t_s < 5$ sec. So, $$\frac{4}{\zeta \omega_n} < Show more…

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For a generic second order system, we want 2% setting time to be less than 5 sec. What is the minimum value of natural frequency for the system to have resonance? a. 1.13 b. 1 c. 0.8 d. Does not exist