Respuesta :
Answer:
Circular will be the hardest after plastic deformation because % of deformation is more in circular than in rectangular.
Step-by-step explanation:
Since we have given that
Circular diameter, ( mm) Rectangular (mm)
Original dimensions 15.2 125 × 175
Deformed dimensions 11.4 75 x 200
So, Percentage of deformation is given by
[tex]=\dfrac{Area_{original}-Area_{Deformed}}{Area_{original}}\times 100[/tex]
[tex]=\dfrac{\pi (\dfrac{15.2}{2})^2-\pi (\dfrac{11.4}{2})^2}{\pi (\dfrac{15.2}{2})^2}\times 100[/tex]
[tex]=\dfrac{\pi (7.6^2-5.7^2)}{\pi 7.6^2}\times 100[/tex]
[tex]=\dfrac{25.27}{57.76}\times 100[/tex]
[tex]=43.75\%[/tex]
Similarly, for rectangular ,
Percentage of deformation is given by
[tex]=\dfrac{Area_{original}-Area_{Deformed}}{Area_{original}}\times 100[/tex]
[tex]=\dfrac{125\times 175-75\times 200}{125\times 175}\times 100[/tex]
[tex]=\dfrac{21875-15000}{21875}\times 100[/tex]
[tex]=\dfrac{6875}{21875}\times 100[/tex]
[tex]=31.4\%[/tex]
Hence, circular will be the hardest after plastic deformation because % of deformation is more in circular than in rectangular.
