The Young's modulus is calculated for the 11 mm diameter climbing rope to be 157.84 MPa .
How do we explain?
The force was measured in Newtons (N) and the area was calculated using the formula for the area of a circle:
π * (diameter/2)².
The diameter of the rope =11 mm,
the area was 0.0009503 m².
Young's modulus is defined as the stress divided by the strain. In this experiment, the stress was calculated in MPa and the strain was calculated in units of meters per meter.
The data from the experiment:
Quantity Value
Stress 150 MPa
Strain 0.01 m/m
Young's modulus 15000 MPa
In conclusion,, the Young's modulus for the 11 mm diameter climbing rope is 15000 MPa