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 π ms -2, what will be the tensile stress (in Nm -2 ) that would be developed in the wire? (3.1 × 106)

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 π ms -2, what will be the tensile stress (in Nm -2 ) that would be developed in the wire? (3.1 × 106) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

(3.1 × 106) Given, Radius of wire, r=2 mm Mass of the load m =4 kg text Stress =(F/A)=(m g/π(r)2) =(4 × 3.1 π/π ×(2 × 10-3)2)=3.1 × 106 N / m 2

Q. A steel wire having a radius of $2.0 mm$ , carrying a load of $4 k g$ , is hanging from a ceiling. Given that $g = 3.1 π m s^{- 2}$ , what will be the tensile stress (in $N m^{- 2}$ ) that would be developed in the wire?
$(3.1 \times 1 0^{6})$

$(3.1 \times 1 0^{6})$ Given,
Radius of wire, $r = 2 mm$
Mass of the load $m = 4 k g$
$Stress = \frac{F}{A} = \frac{m g}{π ( r ) ^{2}}$
$= \frac{4 \times 3.1 π}{π \times ( 2 \times 1 0 ^{- 3} ) ^{2}} = 3.1 \times 1 0^{6} N / m^{2}$

Q. A steel wire having a radius of 2.0mm, carrying a load of 4kg, is hanging from a ceiling. Given that g=3.1πms−2, what will be the tensile stress (in Nm−2 ) that would be developed in the wire? (3.1×106)

(3.1×106) Given, Radius of wire, r=2mm Mass of the load m=4kg Stress =AF​=π(r)2mg​ =π×(2×10−3)24×3.1π​=3.1×106N/m2

Q. A steel wire having a radius of $2.0 mm$ , carrying a load of $4 k g$ , is hanging from a ceiling. Given that $g = 3.1 π m s^{- 2}$ , what will be the tensile stress (in $N m^{- 2}$ ) that would be developed in the wire?
$(3.1 \times 1 0^{6})$

$(3.1 \times 1 0^{6})$ Given,
Radius of wire, $r = 2 mm$
Mass of the load $m = 4 k g$
$Stress = \frac{F}{A} = \frac{m g}{π ( r ) ^{2}}$
$= \frac{4 \times 3.1 π}{π \times ( 2 \times 1 0 ^{- 3} ) ^{2}} = 3.1 \times 1 0^{6} N / m^{2}$