Question 180: Properties of Matter

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 = 3.1 p ms
–2
, what will be
the tensile stress that would be developed in the
wire ?

Accepted Answer

Tensile stress in wire will be
= $${{Tensile{m{ }}force} \over {Cross{m{ }}section{m{ }}Area}}$$
= $${{mg} \over {\pi {R^2}}} = {{4 	imes 3.1\pi } \over {\pi  	imes 4 	imes {{10}^{ - 6}}}}N{m^{ - 2}}$$
=  3.1 ÃÂ 10
6
Nm
Ã¢ÂÂ2

Answer

3.1 × 10
6
Nm
–2

Answer

6.2 × 10
6
Nm
–2

Answer

4.8 × 10
6
Nm
–2

Answer

5.2 × 10
6
Nm
–2

Properties of Matter

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

Choose the correct answer: