A $$900$$ kg elevator hangs by a steel cable for which the allowable stress is $$1.15$$×$$108N/m2$$. What is the minimum diameter required if the elevator accelerates upward at $$1.5$$ $$m/s2$$? Take g $$=$$ $$10$$ $$m/s2$$

Correct option is 26×10-210πm

Questions

A 900 kg elevator hangs by a steel cable for which the allowable stress is $1.15 \times 10^{8} N / m^{2}$ . What is the minimum diameter required if the elevator accelerates upward at 1.5 $m / s^{2} ? Take g = 10 m / s^{2}$

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6×10-2m5π

6×10-210πm

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3×10-25πm

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detailed solution

Correct option is B

Stress =force/area 1.15×108 = 900(10+a)(πd24)⇒ d = 610πcm = 0.0610πm = 6×10-210πm

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A 900 kg elevator hangs by a steel cable for which the allowable stress is 1.15×108N/m2. What is the minimum diameter required if the elevator accelerates upward at 1.5 m/s2? Take g = 10 m/s2

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Ready to Test Your Skills?

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A 900 kg elevator hangs by a steel cable for which the allowable stress is $1.15 \times 10^{8} N / m^{2}$ . What is the minimum diameter required if the elevator accelerates upward at 1.5 $m / s^{2} ? Take g = 10 m / s^{2}$