# 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 minimum speed of the intermediate shaft if the driving shaft has a constant speed of 500 r.p.m.

+1 vote
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 minimum 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.

This question was addressed to me in an online quiz.

I'm obligated to ask this question of Straight Line Mechanism in division Mechanisms with Lower Pairs of Machine Kinematics

by (106k points)
Correct option is (b) 469.85 r.p.m.

For explanation: 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),

minimum speed of the intermediate shaft,

NB(min) = NAcosα = 500 × cos 20° = 469.85 r.p.m.

+1 vote
+1 vote
+1 vote
+1 vote
+1 vote
+1 vote
+1 vote
+1 vote
+1 vote