An elastic change of all constant 2000 permeter undergoes a strain of 0.02 Under a load of 20N.
What is the natural length of the strain?
To find the natural length of the strain, we need to use Hooke's Law, which states that the strain in a material is directly proportional to the stress applied to it.
Hooke's Law can be expressed as follows:
Stress = Young's Modulus × Strain
In this case, the stress is the load applied (20N), and the strain is given as 0.02. The Young's modulus of the material is not provided, so we assume it to be constant at 2000 per meter.
Therefore, we can rewrite Hooke's Law as:
20N = 2000 N/m × 0.02
Simplifying the equation:
20N = 40 N/m
Now, we can solve for the natural length. The natural length can be calculated using the formula:
Natural Length = Original Length × (1 + Strain)
Since the natural length is what we're trying to find, let's call it 'L'. The original length, in this case, is not given, so we can represent it as 'L0'.
Hence, we have the equation:
L = L0 × (1 + Strain)
Substituting the values we know:
L = L0 × (1 + 0.02)
Simplifying the equation:
L = L0 × 1.02
So, the natural length of the strain is 1.02 times the original length.