Problem#$3-$ Error Analysis

Given

A $-$ Piston cross$-$section area $=5^{**}{10}^{-3}+-D_4\%m^2$

$L1=0\mathrm{.}5+-D_s\%m$

$L2=0\mathrm{.}75+-D_6\%m$

K Spring constant $={7\mathrm{.}5}^{**}{10}^3+-150\frac{N}{m}$

$Dx=2\mathrm{.}5+-0\mathrm{.}1mm$

a$.$ Determine the relationship between the scale reading $($DX $)$ and the pressure in the cylinder.

b$.$ What is the nominal pressure in the cylinder?

c$.$ Determine the error in measuring the pressure, $P,$ due to the errors listed above. D$4=8,$ D$5=4,$ D$6=3$