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2) A cube is subjected to a uniform volume compression. If the side of the cube decreases by 2%, the bulk strain is a) 0.02 b) 0.03 c) 0.04 d) 0.06?
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2) A cube is subjected to a uniform volume compression. If the side of...
Understanding the problem:
We are given that a cube is subjected to a uniform volume compression. To solve this problem, we need to find the bulk strain, which is the ratio of the change in volume to the original volume.

Calculating the change in volume:
Let's assume the original side of the cube is 'S'. The original volume of the cube can be calculated as V = S^3.

Since the side of the cube decreases by 2%, the new side length will be S - 0.02S = 0.98S. The new volume of the cube can be calculated as V' = (0.98S)^3 = 0.98^3 * S^3 = 0.941192 * S^3.

The change in volume can be calculated as ΔV = V - V' = S^3 - 0.941192 * S^3 = 0.058808 * S^3.

Calculating the bulk strain:
The bulk strain (ε) is defined as the change in volume (ΔV) divided by the original volume (V).

So, ε = ΔV / V = (0.058808 * S^3) / (S^3) = 0.058808.

Answer:
The bulk strain is 0.058808, which is approximately equal to 0.06.

Therefore, the correct option is d) 0.06.

Note: The bulk strain is dimensionless and does not have any units.
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2) A cube is subjected to a uniform volume compression. If the side of...
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2) A cube is subjected to a uniform volume compression. If the side of the cube decreases by 2%, the bulk strain is a) 0.02 b) 0.03 c) 0.04 d) 0.06?
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