A steel wire of diameter 1 mm can support a tension of 0.24 kn. suppose you need a cable made of these wires to support a tension of 24 kn. the cable should have diameter of what order of magnitude?

Assuming the same deformation and elastic modulus, we can use the relationship:

(P/D) 1 = (P/D) 2

Where P is the load, Dis the diameter of the wire, 1 is the first wire, and 2 is the second wire. Using the given values and solving for the diameter of the second wire:

D = (24 / 0.24) (1)

D = 100 mm