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Chapter 7: Problem 862

If longitudinal strain for a wire is \(0.03\) and its poisson's ratio is \(0.5\), then what is its lateral strain ? (A) \(0.003\) (B) \(0.0075\) (C) \(0.015\) (D) \(0.4\)

Short Answer

Expert verified
The lateral strain is 0.015 (C).

Step by step solution

01

Substitute the given values into the formula

We are given: Longitudinal Strain = 0.03 Poisson's Ratio = 0.5 The formula to find the lateral strain is: Lateral Strain = -Poisson's Ratio × Longitudinal Strain
02

Calculate the lateral strain

Now, we will substitute the given values into the formula and find the lateral strain: Lateral Strain = -0.5 × 0.03
03

Solve for the lateral strain

Multiplying the values, we get: Lateral Strain = -0.015 Since the lateral strain is negative, it means that the wire contracts laterally when it's stretched longitudinally. So, the lateral strain is -0.015 or 0.015 (in terms of magnitude). The correct answer is (C) 0.015.

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