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 (distance between pulley axes)

Correct answer:

l =  2214 mm

Step-by-step explanation:

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  φ=arcsin(a/d)=arcsin(240/480)0.5236 rad α=φ  °=φ π180   °=0.5236 π180   °=30  °  A1=π+2 φ=3.1416+2 0.52364.1888 rad A2=π2 φ=3.14162 0.52362.0944 rad  l1=r1 A1=300 4.18881256.6371 mm l2=r2 A2=60 2.0944125.6637 mm  b=d2a2=48022402=240 3 mm415.6922 mm  l=l1+l2+2 b=1256.6371+125.6637+2 415.6922=2214 mm



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