Answer:
Young's modulus.
Explanation:
Let's see the definition of the three moduli announced.
First, the bulk modulus (K) is used to measure the resistance to compression of a fluid by the next expression:
[tex] K = -V \frac{dP}{dV} [/tex]
where V: is the volume and P: is the pressure of the substance.
Second, the shear modulus (G) measure the stiffness of solids by the next equation:
[tex] G = \frac{F\cdot l}{A \cdot \Delta x} [/tex]
where F: is the force onto the material, A: is the material area, l: is the length and Δx: is the transverse displacement.
And third, the Young's modulus (E) relates the stress and the strain in a material by the following equation:
[tex] E = \frac{\sigma}{\epsilon} [/tex]
where σ: is the uniaxial stress, and ε: is the strain.
Therefore, evaluating the definitions seen above, Young's modulus is the one that better describes the relationship between the stress and strain of the steel cable.
Have a nice day!
