Question

A force of 10^6 N/m^2 is required for breaking a material of density 3 x 10^3 kg/m^3. What would be the length of wire, which can break by its own weight?

(a) 43 m

(b) 98 m

(c) 85m

(d) 34 m

I have been asked this question in unit test.

This intriguing question comes from Strength of Materials topic in section Strength of Materials and Construction Materials of Farm Machinery

Answer 1

Correct answer is (d) 34 m

To explain: L * ρ * g = 10^6 N/m^2

L = \(\frac{(10^6)}{ρ.g} = \frac{10^6}{3*10^3*9.8} \)

= 34m