Why Did the Gyroscope's Precession Rate Double?

AI Thread Summary
The gyroscope's precession rate doubled from 3.8 seconds for one revolution to 1.9 seconds without any external interference. This change suggests an increase in the gyroscope's angular momentum or a variation in the torque acting on it. The discussion highlights the need for equations specific to gyroscopic precession, as traditional rotational equations may not apply directly. Key parameters affecting precession include mass, length of the connecting rod, and rotational inertia. Understanding how these factors influence the precession rate is crucial for solving the problem.
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Homework Statement


A gyroscope takes 3.8 s to precess 1.0 revolution about a vertical axis. Two minutes later, it takes only 1.9 s to precess 1.0 revolution. No one has touched the gyroscope. Explain

Homework Equations


ω = Δθ/Δt
ω = ωo + at

The Attempt at a Solution


So is the gyroscope accelerating more? But in what direction?
 
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The equations that you listed apply to the spinning of an object about its primary spinning axis. But they are not particular to gyroscopic precession.

Do you know of any equations that specifically apply to gyroscopic precession?

[Btw, since the problem statement made the point of specifying the precession axis is vertical, I'm guessing this is torque induced gyroscopic precession -- as in a spinning top.]
 
What's the relationship between
m = mass of wheel
r = length of rod connecting wheel to pivot point
I = rotational inertia of wheel about spin axis
ωs = radian spin speed
ωp = radian precession rate about vertical axis?
Look at each parameter forming ωpand decide if any could be changing, and what the effect on ωp would be.
 

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