An engineering student found that the Youngs modulus of an alloy was 2.8 x 10^11 Pa. The 1.5m wire of the allow increased in length by 0.24% during an experiment. Calculate the stress on the wire.
The Youngs modulus of a material is = Stress / Strain. Therefore, the stress of an object is the strain multiplied by the Youngs modulus. We know that strain is the change in length (or extension) divided by the original length. Which in this case, is (1.5 * 1.0024 )m / 1.5m - notice the units cancel. Multiplying this by 2.8x 10^11Pa (YM) will give us a stress of 6.7 x 10^8 Pa. Notes: 0.0024 is 0.24% written as a decimal, so an increase in 0.24% is 1.0024 multiplied by the original length.
DT
Related Physics A Level answers
All answers ▸Why does a skydiver go through two different terminal velocities?
Explain the process of annihilation?
The LHC accelerates protons to a speed of 0.999999991c around a 27km ring. Due to relativistic effects, their mass increases. Given that the magnetic fields used are 8T, calculate this mass. What is the total energy of an LHC beam containing 3e14 protons?
Given a projectile is launched, from rest, at an angle θ and travels at a velocity V, what is the range and path of motion of the projectile? (Ignore air resistance.)