Winch

The steel rope has a diameter of 6mm and a length of 20m.
We are winding on drum width 60mm, starting diameter 50mm. What is the final diameter after winding?

Correct answer:

D2 =  138 mm

Step-by-step explanation:

D1=50 mm l1=60 mm d=6 mm l2=20 m mm=20 1000  mm=20000 mm  r1=D1/2=50/2=25 mm  V1=π r12 l1=3.1416 252 60117809.7245 mm3 V2=d2 l2+V1=62 20000+117809.7245837809.7245 mm3  V2=π r22 l1  r2=V2π l1=837809.72453.1416 6066.6687 mm  D3=2 r2=2 66.6687133.3374 mm D2=d D3/d=6 133.3374/6=138 mm



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