+1 vote
in Machine Kinematics by (38.0k points)
A double universal joint is used to connect two shafts in the same plane. The intermediate shaft is inclined at an angle of 20° to the driving shaft as well as the driven shaft. Find the maximum speed of the intermediate shaft if the driving shaft has a constant speed of 500 r.p.m.

(a) 532.1 r.p.m

(b) 469.85 r.p.m

(c) 566.25 r.p.m

(d) 441.5 r.p.m.

I got this question in my homework.

My question is taken from Straight Line Mechanism topic in division Mechanisms with Lower Pairs of Machine Kinematics

1 Answer

0 votes
by (106k points)
Correct option is (a) 532.1 r.p.m

For explanation I would say: Given α = 20° ; NA = 500 r.p.m.

Let A, B and C are the driving shaft, intermediate shaft and driven shaft respectively. We know that for the driving shaft (A) and intermediate shaft (B),

Maximum speed of the intermediate shaft,

NB(max) = NA/cosα = 500/cos 20°= 532.1 r.p.m.

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