enjoyingprocess88991 enjoyingprocess88991
  • 07-08-2019
  • Engineering
contestada

A second onder system with damping ratio of 0.4 on a unit-step input will produce a maximum overshoot of a bout (A) 25% (B) 45% (C) 65% (D) 85% (E) none of above

Respuesta :

aristeus aristeus
  • 12-08-2019

Answer:

(a) 25%

Explanation:

It is given that damping ratio [tex]\zeta =0.4[/tex]

The maximum peak overshoot [tex]M_P[/tex]  is given by [tex]M_P=e^\frac{-\pi \zeta }{\sqrt{1-\zeta ^2}}[/tex]

So [tex]M_P=e^\frac{-3.14\times 0.4}{\sqrt{1-0.4^2}}=0.2538=25.28[/tex] % which is nearly equal to the 25 % so the option (a) will be the correct option as in option (a) it is given that maximum peak overshoot is 25%

Answer Link

Otras preguntas

factor 36m^3-6m^2p^2-6mp+p^3
Translate the sentence into an equation. Four more than a number is 12. a. x + 12 = 4 b. x – 4 = 12x c. x – 4 = 12 + x d. x + 4 = 12
Write an equation for each: 1. Segment AB is congruent to segment BC 2. Point B bisects segment AC 3.2x+5 is equal to 4x-8 4.Point A is the midpoint of segment
William Tell had only one attempt to shoot an apple from the top of his son's head with his bow and arrow. If you were Wiliam Tell and you loved your son, would
how to use biome in a sentence
which expression is greater than -|-6.4|
How do you simplify 9*499 using the distributive property?
What is the sum of fifteen and ten?
it takes much longer to bake a whole potato than potatoes that have been cut into pieces why ?
What's 99.59 rounded to the nearest whole number?