The open loop response, that is the speed of the motor to a voltage input of 20 V, assuming a system without damping is
20=(0.02) dw/dt +0.06w

Given the initial speed is zero ( ).

b) Analogy the above system to an object falling from rest in air, if the air resistive force is proportional to velocity, write a differential equation to represent the motion.

Question

The open loop response, that is the speed of the motor to a voltage input of 20 V, assuming a system without damping is 
20=(0.02) dw/dt +0.06w
 
Given the initial speed is zero ( ).

b)	Analogy the above system to an object falling from rest in air, if the air resistive force is proportional to velocity, write a differential equation to represent the motion.

alekos · Answer

s(t) = 1/2 g*t^2 - c*s'(t) 

where g is the acceleration due to gravity, c is the co-efficient of air resistance, s is distance, t is time

alekos · Answer

I don't normally hand out answers, but let me know if you don't follow what i've done

anonymous · Answer

yes..please explain more.

alekos · Answer

s(t) is the distance function w.r. to time and normally without frictional factors 
s(t) = 1/2g*t^2  which is the freefall physics equation
have you seen this before?