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?

Respuesta :

Answer:

original diameter is 0.417 inch

Explanation:

given,

oxygen free copper rod undergoes 40 percent cold working.

final diameter (d₂) = 0.25 inch

original diameter of copper rod = d₂ = ?

[tex]\% reduction =\dfrac{ reduction\ in\ dia }{original\ dia}[/tex]

[tex]\% reduction =\dfrac{ d_1-d_2}{d_1}[/tex]

[tex]0.4 =\dfrac{ d_1-0.25}{d_1}\\0.6d_1 = 0.25\\d_1 = 0.417[/tex]

hence, original diameter is 0.417 inch