Question Solved1 Answer A measuring system has a natural frequency of 0.5rad/s, a damping ratio of 0.5, and a static sensitivity of 0.5m/V. Estimate its 90% rise time and settling time if F(t)= 2U(t) and the initial condition is zero. A) what is the steady response B) what is the transient response

WRNDG2 The Asker · Mechanical Engineering

A measuring system has a natural frequency of 0.5rad/s, a damping ratio of 0.5, and a static sensitivity of 0.5m/V. Estimate its 90% rise time and settling time if F(t)= 2U(t) and the initial condition is zero.

A) what is the steady response

B) what is the transient response

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{:[tr=(pi-tan^(-1)(sqrt(1-epsi^(2))))/(omega_(n)sqrt(1-epsi^(2)))],[=(pi-tan^(-1)(sqrt(1-0.5^(2))))/(0.5sqrt(1-0.52))],[=5.6075]:}2% settlig hure =(4)/(epsiomega_(n))=(4)/(0.5 xx0.5)=165% vershuot =e^(-(pi epsi)/(sqrt(1-epsi^(2))))x(wy=e^(-(pi xx0.5)/(sqrt(-0.52)))xx omega0%=16.303%overshoot value =(0.5 xx16.303)/ ... See the full answer