Question

Bone has a Young's modulus of about

Answer 1

Answer:

505.62 mm

Explanation:

Young's modulus of a material is given by,

$Y=\frac{Stress}{Strain}$

Stress is the force experienced by the material per unit area (which is why stress has the same units as pressure).

Strain is the ratio between the change in length/area/volume to the original length/area/volume of the material (and hence a dimensionless quantity). Basically, it gives us a measure of the change in dimensions due to the stress experienced.

So, for the given problem,

$Y=\frac{Stress}{\Delta L/L}$

or, $1.8\times100=\frac{1.59\times108}{\Delta L/0.53}$      (since we need to find the compression of the bone at the critical stress point)

or, $\Delta L=\frac{1.59\times108\times0.53}{1.8\times100} m=0.50562m=505.62mm$