A wire of length L and cross-sectional area A is stretched by a force F. If the
Practice Questions
Q1
A wire of length L and cross-sectional area A is stretched by a force F. If the Young's modulus of the material is Y, what is the extension of the wire?
F * L / (A * Y)
A * Y * L / F
F * A / (Y * L)
Y * L / (F * A)
Questions & Step-by-Step Solutions
A wire of length L and cross-sectional area A is stretched by a force F. If the Young's modulus of the material is Y, what is the extension of the wire?
Correct Answer: extension = (F * L) / (A * Y)
Step 1: Understand the terms involved. You have a wire with a certain length (L), a cross-sectional area (A), and it is being stretched by a force (F).
Step 2: Know what Young's modulus (Y) is. It is a measure of the stiffness of the material of the wire.
Step 3: Identify the formula to calculate the extension of the wire. The formula is: extension = (F * L) / (A * Y).
Step 4: Plug in the values you have for F (force), L (length), A (cross-sectional area), and Y (Young's modulus) into the formula.
Step 5: Perform the calculation to find the extension of the wire.
Young's Modulus – Young's modulus (Y) is a measure of the stiffness of a material, defined as the ratio of stress (force per unit area) to strain (proportional deformation in length).
Stress and Strain – Stress is the force applied per unit area (F/A), and strain is the relative change in length (extension/original length).
Extension Calculation – The extension of a wire under tension can be calculated using the relationship between force, length, cross-sectional area, and Young's modulus.
