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?
Practice Questions
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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)
The extension of the wire can be calculated using the formula: extension = (F * L) / (A * Y).
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: The extension of the wire can be calculated using the formula: extension = (F * L) / (A * Y).
Steps: 5
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.
