a wire of length 5.0m and diameter 2.0mm extends by 0.25mm when a force of 50newton was used to stretch it from the end. calculate the stress of the wire
stress=f9rce/area=50N/(PI*1e-3)^2 N/m^2
To calculate the stress of the wire, we need to use the formula:
Stress = Force / Area
To find the area of the wire, we'll use the formula for the area of a circular cross-section:
Area = π * (radius)^2
First, let's calculate the radius of the wire. Since the diameter is given as 2.0 mm, we can divide it by 2 to get the radius:
Radius = 2.0 mm / 2 = 1.0 mm = 0.001 m
Now that we have the radius, we can calculate the cross-sectional area:
Area = π * (0.001 m)^2
Next, we'll calculate the change in length of the wire, which is given as 0.25 mm. However, we need to convert it to meters for consistency:
Change in Length = 0.25 mm = 0.25 / 1000 m = 0.00025 m
Finally, with all the necessary values, we can calculate the stress of the wire:
Stress = 50 N / (π * (0.001 m)^2)
Evaluating this expression will give us the stress of the wire.