Question

An 9.15-kg stone at the end of a steel (Young's modulus 2.0 x 10^11 N/m2) wire is being whirled in a circle at a constant tangential speed of 13.9 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 4.40 m long and has a radius of 3.25 x 10^-3 m. Find the strain in the wire.

Answer 1

Total tension force in the wire due to the circular motion of the stone is

So, the stress in the wire is

So, the strain can be calculated by the following relation

Where

is Young's modulus,

is stress and

is strain

Putting in the values

So, the strain in the wire is 6.05 x 10^-5.