Question

A nylon wire with a cross-sectional area of 8.0 x10-7 m2 has a Young modulus of 3.5 x108Pa. A force of 100N is applied to the wire Calculate the stress on the wire

Answer 1

We can find the stress on the wire from the formula:

$$\sigma=\dfrac{F}{A},$$

here, $\sigma$ is the stress on the wire, $F=100\ N$ is the force applied to the wire, $A=8.0\cdot10^{-7}\ m^2$ is the cross-sectional area of the wire.

Then, from this formula we can calculate the stress on the wire:

$$\sigma=\dfrac{100\ N}{8.0\cdot10^{-7}\ m^2} =125\cdot10^6\ Pa =125\ MPa.$$

Answer:

$\sigma=125\cdot10^6\ Pa=125\ MPa.$