State the physical quantities one has to measure in order to determine the Young's Modulus of a wire.
seems to me the force on the wire, crossectional area, length, and change inlength. Isn't that what the definition requires?
Thank you
To determine the Young's Modulus of a wire, you need to measure the following physical quantities:
1. Length: Measure the original length of the wire accurately using a ruler or a measuring tape. This is denoted by "L" in calculations.
2. Diameter: Measure the diameter of the wire using a micrometer or a vernier caliper. Take multiple measurements at different points along the wire and calculate the average diameter. This is denoted by "d" in calculations.
3. Load or Force: Apply a known load or force to the wire using a suitable device like a weight hanger or a force gauge. Measure the applied load accurately using a calibrated scale or a force sensor. This is denoted by "F" in calculations.
4. Change in Length: Apply the load to the wire and measure the resulting change in length of the wire. This can be done by using an extensometer, which is a device specifically designed to measure changes in length. Alternatively, you can use a ruler and measure the change in length indirectly by subtracting the original length from the final length. This change in length is denoted by "ΔL" in calculations.
By measuring these four physical quantities (length, diameter, load, and change in length), you can then utilize the formula
Young's Modulus (E) = (Force/Area) / (Change in Length/Original Length)
where Area = π*(diameter/2)^2 is the cross-sectional area of the wire.
Substitute the measured values into the equation to calculate the Young's Modulus of the wire.