Question

A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1πms^-2, what will be the tensile stress that would be developed in the wire?

विकल्प

• 6.2 × 10⁶ Nm^-2

• 5.2 × 10⁶ Nm^-2

• 3.1 × 10⁶ Nm^-2

• 4.8 × 10⁶ Nm^-2

Answer 1

3.1 × 10⁶ Nm^-2

Explanation:

Given: The radius of a steel wire is r = 2.0 mm = 0.002 m, the load on a steel wire is m = 4 kg and gravity's acceleration is `g = 3.1pim/s^2`.

To find: The wire's tensile stress.

Tensile stress = `"Force"/"Area" = (mg)/(pir^2)`

= `(4 xx 3.1pi)/(pi xx 0.002 xx 0.002)`

= `3.1 xx 10^6` N/m²