Rope

How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)?

Correct answer:

l =  313.4 m

Step-by-step explanation:

a=10 mm D1=50 mm D2=200 mm x=350 mm n=(D2D1)/a=(20050)/10=15 o = π   D x1=D1=50 mm d=2 a=2 10=20 mm x2=x1+(n1) d=50+(151) 20=330 mm s=(x1+x2)/2 n=(50+330)/2 15=2850 mm l1=π s=3.1416 28508953.5391 mm l2=l1 m=l1:1000  m=8953.5391:1000  m=8.95354 m m=x/a=350/10=35 l=m l2=35 8.9535=313.4 m



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