A polyster fibre rope of diameter 3cm has a breaking strength of 150kN. If it is required to have 600kN breaking strength. What should be the diameter of similar rope?

A polyster fibre rope of diameter 3cm has a breaking strength of 150kN

1.	A polyster fibre rope of diameter 3cm has a breaking strength of 150kN. If it is required to have 600kN breaking strength. What should be the diameter of similar rope?
Answer» 12cm 6cm 3cm 1.5cm Solution :`Y = (FL)/(A Delta L)` The braking strength `F PROP A` `:. (F_(2))/(F_(1))= (A_(2))/(A_(1)) = (pi D_(2)^(2)//4)/(pi D_(1)^(2) //4) = (D_(2)^(2))/(D_(1)^(2))` or `D_(2) = D_(1) ((F_(2))/(F_(1)))^(1//2)= 3 ((600)/(150))^(1//2) = 6cm`