PAG 2.1 Determining Young Modulus Flashcards
Define Young’s Modulus
The Young’s Modulus of a material is it’s ratio of tensile stress to tensile strain. It is a measure of a material’s stiffness
How is stress calculated?
Stress= Force/ Cross-Sectional Area
How is strain calculated?
Strain = Change in Length/ Original Length
What is the unit of stress?
Pascals (Pa) or Nm^-2
What is the unit of strain?
Strain doesn’t have a unit since it is a ratio of two lengths
What is the unit of Young’s Modulus?
Pascals (Pa) or Nm^-2
How can the cross-sectional area of a thin wire be measured?
The wire’s diameter should be measured in several places along the wire, using a micrometer. The average diameter can then be used to calculate the circular area.
What safety precaution should be taken when stretching thin wires?
Safety goggles should be worn since the wire ,at snap when under a tensile load and this could cause eye injury.
Why should the temperature of the surroundings be kept constant when carrying out this experiment?
Metals undergo thermal expansion when there is a temperature increase, and this would change the dimensions of the wire
Why should a pre-stress be applied to the wire when setting up this experiment?
So that all the kinks in the wire are removed and the wire is taught, before measurements are taken
How can the Young’s Modulus be determined from a graph of extension against load?
The gradient of the graph is e/F
E=L/(A x gradient)
How can Young’s Modulus be obtained from a stress-strain graph?
The gradient will give Young’s Modulus
Suggest what has happened if the length of the wire doesn’t return to its original length when unloaded
The load may have exceeded the wire’s elastic limit and consequently the wire has undergone plastic deformation
How can the load applied on a wire be calculated from the mass added to the end of the wire?
Load = Mass x Gravitational Field Strength
F=mg
What safety precaution should be taken when using hanging masses?
Never stand with your feet below the hanging masses in case he wire snaps and the massses fall.
It is good practice to place a padded bucket below them