E is the Young's modulus (modulus of elasticity)
F is the force applied to the object;
A0 is the original cross-sectional area through which the force is applied;
ΔL is the amount by which the length of the object changes;
L0 is the original length of the object.
the maximun error in calculation of each instrument is its lest count so ..
∂E/E = .1 /110 + 2 * 0.0001/0.05 + 0.001/0.125 = .0129 or 1.29 %
E = 50 * 1.10 / 0.00125 * Π(0.0005/2)2 = (2.24 ± .03 ) * 1011