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Gyroscope and angular velocity

1. The problem statement, all variables and given/known data
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

2. Relevant equations
ω = Δθ/Δt
ω = ωo + at

3. The attempt at a solution
So is the gyroscope accelerating more? But in what direction?


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Gold Member
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.]

rude man

Homework Helper
Insights Author
Gold Member
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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