A mass, fastened to the end of a steel wire of unstretched length , is whirled in a vertical circle with an angular velocity of at the bottom of the circle. The crosssectional area of the wire is Calculate the elongation of the wire when the mass is at the lowest point of its path.

Mass is given as

Length of the steel wire is given as

Angular velocity is given as rev/s

Cross-sectional area of the wire is given as

When the mass is at the lowest point of the vertical circle, total pulling force on the steel wire will be,

Young’s modulus Stress / Strain

As a result, the elongation of the wire when the mass is at the lowest is