Question

An oxygen free copper rod undergoes 40 percent cold working and has a final diameter of 0.250 in. What is the original diameter of the rod?

Answer 1

original diameter is 0.417 inch

Step-by-step explanation:

given,

oxygen free copper rod undergoes 40 percent cold working.

final diameter (d₂) = 0.25 inch

original diameter of copper rod = d₂ = ?

`\% reduction =( reduction\ in\ dia )/(original\ dia)`

`\% reduction =( d_1-d_2)/(d_1)`

`0.4 =( d_1-0.25)/(d_1)\\0.6d_1 = 0.25\\d_1 = 0.417`

hence, original diameter is 0.417 inch