Answer to Question #131472 in Physics for David

Question

A steel rod of diameter 14cm subjected to a load of 50N,with a strain of 20. Calculate the young modulus or modulus of elasticity.

Answer 1

The stress

$$\sigma=\frac{F}{A}=\varepsilon E$$

Hence, the modulus of elasticity

$$E=\frac{F}{\varepsilon A}=\rm\frac{50\: N}{20\times 3.14\times (0.07\: m)^2}=162\:Pa$$