a steel cable is loaded with a mass of 5.2×104 kg what is the radius of it if it is required to supports a chairlift at a ski area. If the maximum stress is not exceed 105Nm-2
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Answer:
1274 mm (which is wrong or too big because of your provided doubtful values)
Explanation:
Force (gravity here) = mg = 5.2×10⁴×9.8 = 5.096×10⁵ N
Stress = Force/Area
Area of cable = Force/Stress = 5.096×10⁵ / 10⁵ = 5.096 m²
pi×r² = 5.096
r² = 5.096 / 3.14 = 1.623 m²
r = 1.274 m or 1274 mm
* This much radius is not practical. Your provided stress value is too low *
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