An aluminum wire 2.0 m long and 2.0 mm in diameter supports a 10.0-kg fixture. What is the stress in the wire? Young's modulus for aluminum is 7.0 × 10¹⁰ N/m². A) 3.1 × 10⁷ N/m² B) 6.2 × 10⁷ N/m² C) 9.3 × 10⁷ N/m² D) 1.2 × 10⁸ N/m²

Question

Quizplus · Accepted Answer

Stress is calculated as force divided by area. The force is the weight of the fixture (10.0 kg × 9.8 m/s² = 98 N). The cross-sectional area of the wire is π × (0.001 m)². Stress = 98 N / (π × (0.001 m)²) = 3.1 × 10⁷ N/m².

An Aluminum Wire 2