A wire of length 5.0 m and diameter 2.0 mm extends by 0.25 mm when a force of 50 N was used to stretch it from its end. Calculate the (a)stress on the wire (b)strain in the wire
12.7
how am I supposed to know?¿?
Fe is equals to ke and to key the nature of 5.0
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To calculate the stress and strain in the wire, we need to use the following formulas:
(a) Stress (σ) = Force (F) / Area (A)
(b) Strain (ε) = Change in length (ΔL) / Original length (L)
Let's calculate each step by step:
Step 1: Calculate the original cross-sectional area (A) of the wire.
The diameter of the wire is given as 2.0 mm, which means the radius is 1.0 mm (or 0.001 m).
The cross-sectional area of a wire is given by the formula A = π * r^2, where π is approximately 3.14.
Thus, A = 3.14 * (0.001 m)^2.
Step 2: Calculate the stress (σ) on the wire.
The force (F) applied to the wire is given as 50 N.
Using the stress formula, σ = F / A, we can substitute the values:
σ = 50 N / (3.14 * (0.001 m)^2).
Step 3: Calculate the strain (ε) in the wire.
The change in length (ΔL) of the wire is given as 0.25 mm, which is equal to 0.00025 m.
The original length (L) of the wire is given as 5.0 m.
Using the strain formula, ε = ΔL / L, we can substitute the values:
ε = 0.00025 m / 5.0 m.
By following these steps, you can now calculate the stress (a) and strain (b) in the wire using the given values.
stress=force/area
strain=deformation/length