Question

A sheet of aluminum alloy is cold-rolled 33 percent to a thickness of 0.096 in. If the sheet is then cold-rolled to a final thickness of 0.061 in., what is the total percent cold work done

Answer 1

The total percent of cold work is 57.34%

Step-by-step explanation:

Let x the initial thickness of the sheet. After 33% of cold working, the thickness is 0.096 in. Then:

x - 0.33x = 0.096

x = 0.143 in

the final thickness is equal to 0.061 in. The percent of cold work done is:

`percent-of-cold-work=((initial-thickness)-(final-thickness))/(initial-thickness)*100`

`percent-of-cold-work=(0.143-0.061)/(0.143) *100=57.34`%

Answer 2

The total percent cold work done is 36.46%

Step-by-step explanation:

Let initial metal thickness = T

Final metal thickness = t

The percent cold work done = WC

Then

%Wc = (T - t)/T × 100

% Wc = ( 0.096 - 0.061 )/0.096 ×100

Total %WC = 36.46%