A copper wire of 1 mm diameter is stretched by applying a force of 10 N. Find the stress in the wire.
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Given, diameter of copper wire, d = 1mm
radius of copper wire, r = 0.5mm = 5 × 10^-4 m
Force applied to copper wire, F = 10N
Stress = force applied/cross sectional area
= F/πr² = 10/{3.14 × (5 × 10^-4)²}
= 10 × 10^8/{3.14 × 25}
= 100 × 10^7/(3.14 × 25)
= 4/3.14 × 10^7
= 1.273 × 10^7 N/m²
Hence, stress in the wire = 1.273 × 10^7 N/m²
radius of copper wire, r = 0.5mm = 5 × 10^-4 m
Force applied to copper wire, F = 10N
Stress = force applied/cross sectional area
= F/πr² = 10/{3.14 × (5 × 10^-4)²}
= 10 × 10^8/{3.14 × 25}
= 100 × 10^7/(3.14 × 25)
= 4/3.14 × 10^7
= 1.273 × 10^7 N/m²
Hence, stress in the wire = 1.273 × 10^7 N/m²
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Explanation:
copper wire of 1 mm diameter is stretched by applying a force of 10 N. Find the
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