Practice question

MCQ

Question

A steel cable of radius 0.015 m is used to support a load. If the maximum stress it can withstand is 2 × 108 N/m2, what is the maximum load it can support? (Take π ≈ 3.14)

Options

Choose one · Correct answer highlighted

1.413 × 105 N Correct 1 × 105 N 2 × 105 N 1.5 × 105 N

Explanation

Stress: Stress = F / A. Area: A = π r2 = 3.14 × (0.015)2 = 3.14 × 0.000225 = 7.065 × 10-4 m2. Maximum force: F = Stress × A = 2 × 108 × 7.065 × 10-4 = 1.413 × 105 N.

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