Slowest output speed–
Fastest output speed–
Speed swing (max minus min)–
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Where the speed swing comes from

As the cross rotates, it rocks back and forth in a plane that is tilted relative to the output shaft. The output angle follows tan(output) = tan(input) / cos(beta), so the output alternately gains and loses on the input.

Over a whole turn the average speed is exactly the input speed, but the instant speed swings between input x cos(beta) and input / cos(beta). The scene uses that exact relationship, with the shafts slowed so you can see it.

Try it: set the angle to 40 degrees. The output swings from about 460 to about 780 rpm at a 600 rpm input, a swing of more than half the input speed. Drop to 5 degrees and the swing shrinks to under 1 percent.

Fixing it with two joints

Vehicle drive shafts use two universal joints with equal angles and their inner yokes lined up. The second joint undoes the first joint's speed swing, so the axle turns smoothly. Constant velocity joints solve the same problem with balls in grooves.

How to cite this model

Avid Solutions International. (2026, November 11). How a universal joint turns a corner [Interactive 3D model]. Avid Field Lab. https://avidsolutionsintl.com/explore/universal-joint

Last updated November 11, 2026

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