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A rope 1cm in diameter breaks …

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A rope 1cm in diameter breaks if tension in it exceeds 50N. What is the maximum tension that may be given to the similar rope of diameter 2m
  • 1 answers

Yogita Ingle 3 years, 11 months ago

it is based on Young's modulus concepts .

we know, Young's modulus = stress/strain
stress = F/A , strain = ∆L/L

so, Young's modulus, Y = FL/A∆L
so, F = YA∆L/L
hence, it is clear that tension in rope is directly proportional to area of cross section of rope.

area of cross section of rope , A = πd²/4

so, 
we can write , 

so, 



hence, maximum tension that may be given to a similar role of diameter 2cm is 2000N

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