Question

A steel cable supports an actor as he swings onto the stage. The weight of the actor stretches the steel cable. To describe the relationship between stress and strain for the steel cable, you would use bulk modulus. shear modulus. both shear modulus and bulk modulus. both Young's modulus and bulk modulus. Young's modulus.

Answer 1

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:  

$K = -V \frac{dP}{dV}$  

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:  

$G = \frac{F\cdot l}{A \cdot \Delta x}$

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:  

$E = \frac{\sigma}{\epsilon}$

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!