Question

In such an experiment, a brass wire of diameter 9.50 x 10^-4 m is used. If the young modulus for brass is 9.86 x 10^10 Nm^-2, find the greatest force which could be use to keep within the limitation.

Answer 1

Since Stress $\propto$ strain

Then

$Stress = Y(strain)$

$\frac{F}{A} = Y(strain)$ where F is the force and A is the area.

then

$F = AY(strain)$

Let strain be 0.0001 for sake of simplicity

then

$F = 9.86*10^{10} * \pi*(\frac{9.5*10^{-4}}{2})^2*0.0001 = 6.98 N$