If a metal wire is 4m  long and a force of 5000n causes it to stretch by 1mm , what is the strain?

General
1

if a metal wire is 4m  long and a force of 5000n causes it to stretch by 1mm , what is the strain?

2

What is the strain in the metal wire?

Answer:
Strain in a material is a measure of how much it deforms under a load. It is defined as the ratio of the change in length of the material to its original length. In this case, the original length of the metal wire is 4m, and it stretches by 1mm when a force of 5000N is applied.

First, we need to convert the stretch in millimeters to meters:
1mm = 0.001m

Next, we can calculate the strain using the formula:
Strain = Change in length / Original length

Given that the force causes a 1mm stretch:
Change in length = 0.001m
Original length = 4m

Substitute these values into the formula:
Strain = 0.001m / 4m
Strain = 0.00025

Therefore, the strain in the metal wire when a force of 5000N causes it to stretch by 1mm is 0.00025 or 0.025%.