- #1
zulfiqar
- 1
- 0
Homework Statement
A Current to pneumatic convertor which is shown here in the attachment has the given data which is
Kc=2500N/A (constant of proportionality
X+Y = 100mm
Z=75mm
A=5cm^2
1-to check the response of I/P as per graph waht is the suitable value of x and y
2- what is the value of Fs
Homework Equations
Pout = (Kc*Y/A*X)Iin+Fs*Z/A*X
The Attempt at a Solution
Given data is
Kc =2500NA-1 or 2500,000mNA-1
X+Y = 100mm
Z=75mm
A= 5cm^2 or 500mm^2
Solution
The balance equation of the system is
Pout = (Kc * Y/A*X)Iin + Fs*Z/A*X
Y=MX+C
Now by looking the graph the intercept c of the line run through zero so
The Fs*z/A*X part of the equation iS neglected so new equation is lik
Pout = (Kc*Y/A*X) Iin
Or Y = MX
As per the graph the value of
Pout =1 bar or 100,000pascals
Iin = 20mA
now by putting these values in the above equation
100,000 = ( Kc*y/A*X) 20
Kc*Y/A*X = 5000
Now by putting the value of Kc and A
2500,000*Y/500*X = 5000
SO
Y/X = 1
Now as per the given data the
X+Y = 100
And Y = 100-X
Now by putting this value of X in the above equation
100-X/X = 1
100-X =1X
100 =1X+X
100 =2X
X =50mm
Now by putting this value of X in the given x+y =100 we will get the value
X+y = 100
50+Y = 100
Y = 100-50
Y = 50mm
so the value of x = 50mm and Y= 50mm
I am not sure this the correct solution and the unit selection is correct or not
If any friend has some idea about this please guide me