A mild steel bar of length 10cm and width of 10mm is extended by 0.01 mm. Which of the following is equal to the change in width of the bar.(The Poisson's ratio of mild steel is 0.31)
A 3.1x10-4mm
B -3.1x10-4mm
C 3.1x10-5mm
D -3.1x10-5mm
Can anyone please answer this?
To determine the change in width of the bar, we can use the formula:
Change in width = (Poisson's ratio) * (Change in length)
Given data:
Length of bar = 10 cm = 100 mm
Width of bar = 10 mm
Change in length = 0.01 mm
Poisson's ratio of mild steel = 0.31
Substituting the values into the formula:
Change in width = 0.31 * 0.01 mm = 0.0031 mm
Therefore, the change in width of the bar is equal to 0.0031 mm.
Hence, the correct answer is option A: 3.1x10-4mm.
To find the change in width of the mild steel bar, we can use the formula:
change in width = (Poisson's ratio) * (change in length) * (original width)
Given that the Poisson's ratio of mild steel is 0.31, the change in length is 0.01 mm, and the original width is 10 mm, we can substitute these values into the formula:
change in width = 0.31 * 0.01 mm * 10 mm
= 0.0031 mm
Therefore, the change in width of the mild steel bar is 0.0031 mm.
Among the given options:
A. 3.1x10^-4 mm
B. -3.1x10^-4 mm
C. 3.1x10^-5 mm
D. -3.1x10^-5 mm
The correct option is C. 3.1x10^-5 mm.