Answer to Question #228502 in Mechanics | Relativity for Hloni

Question

The young's modulus of a material whose elastic strain and stress are 1.92 and 358.33N/m^2 respectively is

Answer 1

Explanations & Calculations

• This queston is from the very basics. You should know the particular relationship that exists between those parameters described in the question.
• That relationship is described by the equation $\small \sigma =Ye$ where $\small \sigma$: the stress, $\small Y$:Young''s modulus or the eleastic modulus & $\small e$: the strain.
• Once these are known solving a question like this is a matter of couple of seconds.
• As you know them by now,

$\qquad\qquad \begin{aligned} \small \sigma&=\small Ye\\ \small Y &=\small \frac{\sigma}{e}\\ &=\small \frac{358.33\,Nm^{-2}}{1.92}\\ &=\small \bold{186.63\,Nm^{-2}} \end{aligned}$

• It's about finding the unknown parameter of the equation when others are given.

• For extra knowledge, One should be careful in applying this equation as this is only applicable to the elastic region related to the deformation that the object undergoes.