Question Solved1 Answer 3.16 3.16 A measuring system has a natural frequency of 0.5 rad/s, a damping ratio of 0.5, and a static sensitivity of 0.5 m/V. Estimate its 90% rise time and settling time if F(t)= 2 U(1) and the initial condition is zero. Plot the response y(t) and indicate its transient and steady responses. 3.17 Plot the frequency response, based on Equations 3.20 and 3.22, for an instrument having a damping

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3.16
Transcribed Image Text: 3.16 A measuring system has a natural frequency of 0.5 rad/s, a damping ratio of 0.5, and a static sensitivity of 0.5 m/V. Estimate its 90% rise time and settling time if F(t)= 2 U(1) and the initial condition is zero. Plot the response y(t) and indicate its transient and steady responses. 3.17 Plot the frequency response, based on Equations 3.20 and 3.22, for an instrument having a damping
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Transcribed Image Text: 3.16 A measuring system has a natural frequency of 0.5 rad/s, a damping ratio of 0.5, and a static sensitivity of 0.5 m/V. Estimate its 90% rise time and settling time if F(t)= 2 U(1) and the initial condition is zero. Plot the response y(t) and indicate its transient and steady responses. 3.17 Plot the frequency response, based on Equations 3.20 and 3.22, for an instrument having a damping
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AnswersQf(t)=2u(t)90% rise fime and setting fimey^(')(0)=y(0)=0By using the oletation for undeedamped System Solution whet 0leqslant4 < 1y_(n)(t)=Ce^(-somega_(n)^(t))sin(omega nsqrt(1-2^(2)t)+theta)for t⩾0:. Che given clamped frequency{:[omega_(d)=ch(sqrt(1-xi^(2)))] ... See the full answer