Do Opposite Rotating Discs Cancel Precessional Forces in Motorcycle Wheels?

In summary, the conversation revolves around finding the vector math for gyroscopic precession, particularly in relation to two opposite rotating discs and their precessional forces. The question being explored is whether the forces can be cancelled, and it seems that the best way to settle the issue is through mathematical analysis. Some references and resources are mentioned to provide additional information on the subject.
  • #1
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Trying to find the vector math for gyroscopic precession - all web sites I've seen that deal with analysis don't include direction of rotation as a vector and I can't find a discussion in my texts on the subject.

The question I'm trying to answer is whether two opposite rotating discs of equal speed/mass will cancel precessional forces. This is being looked at in terms of a motorcycle wheel patent to make steering easier at high speed.

Everybody seems to have their own opinion on the subject and so it seems the only way to settle the question is with the math.

Thanks for any help
Robert
 
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  • #2
Your angular velocity vector lies along the axis of rotation (perpendicular to the rotating wheel) in the same direction as the angular momentum vector (cross product of the radius vector and the linear velocity vector at some given instant of time).

What force is providing the external torque that's causing the precession?

Here's a link on precession that may help: HyperPhsyics - Precession Torques
 
  • #3
Thanks Bob - the references mentioned will give me a little more info as well
 

FAQ: Do Opposite Rotating Discs Cancel Precessional Forces in Motorcycle Wheels?

What is vector math for precession?

Vector math for precession is a mathematical concept used in astronomy and physics to describe the change in orientation of a rotating object, such as a planet or a gyroscope. It involves using vectors, which are quantities that have both magnitude and direction, to calculate the change in orientation over time.

How is vector math used to predict precession?

Vector math is used to predict precession by considering the forces acting on a rotating object and calculating the change in orientation that results. This can be done using equations that take into account the magnitude and direction of these forces, as well as the object's mass and angular velocity.

What is the difference between precession and nutation?

Precession and nutation are both terms used to describe the movement of a rotating object, but they refer to different types of movement. Precession is the gradual change in orientation of an object's axis of rotation, while nutation is a periodic wobbling or oscillation of the axis.

How does vector math for precession relate to celestial navigation?

Vector math for precession is essential in celestial navigation because it allows us to accurately predict the position of celestial bodies, such as stars and planets, in the sky. By understanding the precession of Earth's axis, we can make precise calculations of celestial coordinates and use them for navigation.

What are some real-world applications of vector math for precession?

Vector math for precession has many real-world applications, including predicting the motion of planets and satellites, understanding the behavior of gyroscopes, and improving the accuracy of astronomical and navigational calculations. It is also used in the design and control of spacecraft and satellites, as well as in the study of Earth's rotation and its effects on climate and geology.

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