(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

Pout = (Kc*Y/A*X)Iin+Fs*Z/A*X

3. 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 plz guide me

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# Homework Help: Industrial current to pneumatic convertor

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