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A steel wire of length 1.93 m with circular cross section must stretch no more than 0.200 cm when a tensile (stretching) force of 420 N is applied to each end of the wire. What minimum diameter dmin is required for the wire?

User Dorony
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Final answer:

The question involves calculating the minimum diameter of a steel wire to prevent excessive stretching under a specified tensile force, which necessitates an understanding of the material's elasticity.

Step-by-step explanation:

The student is asking about the minimum diameter dmin required for a steel wire to ensure that it does not stretch more than a specified amount under a given tensile force. To solve this, we need to apply concepts from the physics of materials, specifically the relationship between stress, strain, and Young's modulus for a material. Using formulas that relate the elastic properties of materials to physical dimensions and forces, we can determine the minimum diameter needed to meet the criteria set by the problem.

User Licelot
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