# Double Cardan Joint and angular velocity

1. Jul 14, 2011

### dr29715

1. The problem statement, all variables and given/known data
What is the angular speed of a driven shaft whent he drive shaft is 40.34774 RPM? Assume that the cardan joints are offset by 45 degrees or less.

2. Relevant equations

Angular Velocity relationship

w2/w1 = cos(d)/(1-sin^2(o2)*sin^2(d)

w = angular velocity of shaft (1 is input and 2 is output)
d = angle between the shafts
o2= output shaft rotation angle

3. The attempt at a solution
I tried to use this equation to calculate the angluar velocity of the shaft between the two cardan joints and then apply that velocity using the same equation to calculate the angualr velocity of the output shaft. However, it seems that I am missing some information. Specifically, I assumed the angle between shafts is 45 degrees in each situation. What Am I missing?

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