V-belt

Calculate a length of the V-belt when the diameter of the pulleys is:

D1 = 600 mm
D2 = 120 mm
d = 480 mm

Correct result:

l =  2185 mm

Solution:

d1=600 mm d2=120 mm d=480 mm  r1=d1/2=600/2=300 mm r2=d2/2=120/2=60 mm  a=r1r2=30060=240 mm  A=arctan(a/d)=arctan(240/480)0.4636 rad  A1=π+2 A=3.1416+2 0.46364.0689 rad A2=π2 A=3.14162 0.46362.2143 rad  l1=r1 A1=300 4.06891220.6664 mm l2=r2 A2=60 2.2143132.8578 mm  b=d2a2=48022402=240 3 mm415.6922 mm  l=l1+l2+2 b=1220.6664+132.8578+2 415.6922=2185 mm



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