Consider a resonator with ω0 = 100 rad/sec and a Q factor of 100. Calculate the time takes it to settle within 2% of the final value when excited with a unit force.

8 s

Explanation:

Damping factor, F is given by

where Q is quality factor

Also, we know that the settling time, T is given by

where W is the resonant frequency.and substituting the first equation here we get

Since it takes 2% of final value to settle and considering 100 rad/s for resonant frequency and taking quality factor of 100 then  

50 inches should be the resultant vector

answer: good job it's all correct !

explanation: