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# Questions tagged [gyroscopes]

A spinning wheel or disc in which the axis of rotation is free to assume any orientation by itself. When rotating, the orientation of this axis is unaffected by tilting or rotation of the mounting, according to the conservation of angular momentum. These devices are used for measuring or maintaining orientation and angular velocity.

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### Gyroscopic effect of a sphere

I am looking at: https://en.wikipedia.org/wiki/Euler%27s_equations_(rigid_body_dynamics) \begin{align} I_1\dot{\omega}_{1}+(I_3-I_2)\omega_2\omega_3 &= M_{1}\\ I_2\dot{\omega}_{2}+(I_1-I_3)\...
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### What happens to the motions of a gas if its container is attached to a gyroscopic stabalizer?

If you attach a gyroscopic stabilizer to a vehicle like a car, plane, or boat, you stabilize the entire vehicle, effectively increasing the inertia of the vehicle. My question is, what happens to the ...
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### Does gimbal for education exist?

I have been looking for a gimbal for a long time. Something similar to what you see in the book. However, I have had a lot of problem to find something similar. All my search results end to %95: ...
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### Does the angular velocity of a wheel affect its height in this situation?

If there were no friction at all, and the wheel was spinning with some angular velocity in the initial picture shown below. Would the wheel stay perpendicular to the ground regardless of the angular ...
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### Gyroscope precession and Euler equations

I've been trying for so long to solve this problem, but the solution I have found isn't the one I expected. Basically, I have to solve Euler's equations for a gyroscope with a weigth at a distance d. ...
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### Angular Velocity of a point on a deflated tire (gyroscope measurement)

Before I do the experiment, I am a bit confused about the expected signals provided by a 3-axis gyroscope (angular velocities vs. time) mounted on the edge of a (slightly) deflated car tire when the ...
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### Nutation frequency for a weighted gyroscope

So, I've been led to believe that the frequency of nutation of a gyroscope can be calculated using the formula In which the I's are the moments of inertia around the principal axes and omega-3 is the ...
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### Query about why there is a torque on this spinning ring in a magnetic field

We learnt in class that the $\vec m\times \vec B$ is the torque of a current loop in a magnetic field. I was trying to understand this by considering the diagram above. Let the B field be pointing in ...
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### Would you feel inertial forces if you were inside a precessing gyroscope?

If a gyroscope is placed orthogonality on an physical axis which is paralel to a gravitational field if you're in a reference frame of the gyroscope do you have to modify Newton's law?
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### The flyby anomaly, rotation, and gyroscopes: help understanding the theoretical connection

The flyby effect in spaceflight is described in the question Is the Flyby Anomaly still a thing? It is an very small unexplained acceleration seen in some spacecraft trajectories during flyby ...
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### How does a gyroscope flip?

Consider a gyroscope which is hanging by a string. Is it possible to flip the orientation of the gyroscope by oscillating the point of suspension? How does it come out mathematically?
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### How can non-body-fixed angular velocities can be approximated by co-moving ones?

When reading a paper about magnetic bearings, I have stumbled upon the following ansatz which I don't fully grasp (page 3): For a general body, the Euler equations are given in a body fixed ...
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### Angular velocity - Gyroscope

I am currently researching the gyroscope on my own and i came across the concept of angular velocity. The torque ($T$) on a gyroscope is caused by $R\cdot F$, where the force i consider it to be ...
1 vote
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### Problem finding the total kinetic energy of bicycle system?

I've been working on this problem for a while and here comes the problem: I'm building a balancing system for a bicycle using Gyroscopic effect (take a look at Figure 2 for more details). My system ...
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### What would happen to a spinning gyroscope drifting through space?

Imagine we set a gyroscope spinning and pointed in a certain direction and then set it adrift in space. The gyroscope drifts through space for billions of years and eventually it drifts back to us. ...
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### Physics of a reaction wheel behind a gear chain

So as I understand it, due to angular momentum conservation, if you have two objects with inertia $I_1$ and $I_2$ and one of them applies a torque onto the other, they will start rotating in opposite ...
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### Motor-powered gyroscope's precession speed

I was doing experiment about the gyroscope's precession speed and I made my own gyroscope, which is the one in the picture. It is the motor-powered gyroscope as I found out the one made with bearing ...
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### 3 gimbal gyroscope stability

Apologies if this has been answered elsewhere but I´d rather put my trust in a dedicated community before youtube or wikipedia. Once the rotor/flywheel is up to speed the rotation and centrifugal ...
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### When will be a suspended (not at the center of the mass) symmetric rotating gyroscope in stable or instable position?

The original question is what is in the title. I'm not sure about the answer so here is my solution, please correct me If I am wrong: It is known for a gyroscope what is in a homogenous gravity field ...
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### Noise of a fiber optic gyro

I have not much experience with noise handling or calculations, furthermore in my researches couldn't find a similar problem, so here is my attempt: Having a fiber optic gyro that is rated with a ...
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### Which force is necessary for providing centripetal force to a rotating gyroscope?

When a gyroscope is precessing around an axis due to a certain applied torque, if we look at the center of mass , it is going around in circular motion. So there must be some force which provides the ...
1 vote
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### Direction change of gyroscopic precession with change in moment of inertia

In the classic bicycle wheel gyroscopic precession, using the right hand coordinate system of xyz and right hand rule of rotation, Such as X axis is in the longitudinal direction (spin axis) z axis ...
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### How much should the disk/wheel spin for gyroscopic-precession to take place? Is there a threshold?

Suppose we have a spinning gyroscope whose disk is of mass $m$, spinning at angular velocity $\omega$, and attached to a rod of length $r$. The precession of the gyroscope around the $z$-axis will be ...
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### Why do vibration MEMS gyroscopes need two oscillating modes?

Everywhere I look, I see that MEMS gyroscopes need to have two modes, that are orthogonal in direction. However, that puts a lot of significance to the detuning of these modes, and calls for highly ...
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### Calculation of Accelerometer offset for Placement of Inertial measurement unit away from centre of mass

I am working on a 6DOF IMU that contains a 3-axis accelerometer and a 3-axis gyroscope, I am building a project to plot the position and orientation of a vehicle/dirt bike in a 3d plane, However the ...
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### Is there a naturally occurring siderostat (fixed orientation, absolutely nonrotating object as if locked to the distant galaxies or the universe)?

Often, a telescope is attached to an equatorial mount with a motor that counteracts the earth's rotation so that the telescope has no net rotation. It may be designed to counteract the known rotation ...
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### How can precession produce a torque in the direction of precession when it has no angular momentum?

I this video, an 8 lb gyro on a rod supported at one end is spun up to several thousand rpm, and an assist is use to get the axis nearly horizontal. A small stick is used to nearly instantly stop the ...
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### Is it possible to change the speed at which a wheel is freely spinning by moving only its axle?

Suppose we have a wheel spinning on a perfectly lubricated axle. Is it possible to change its angular velocity about that axle, by moving only the axle? Due to the wheel's symmetry about the axle's ...
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### Measuring the curvature of the Earth using a mobile phone accelerometer + gyroscope

Suppose that you were on the surface of a sphere which is perfectly level everywhere. You are in a car or a plane, and you have a mobile phone with a gyroscope and an accelerometer that give a steady ...
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### Does anybody know a physical explanation for the refractive index independence of the Sagnac Interferometer fringe shift?

It is generally accepted that the fringe shift produced in a fiber optic Sagnac interferometer is independent of the refractive index of the fiber. In fact, the waveguide aspect of the fiber is not ...
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### Definition of rotation moment in a vertical surface during forced precession of a gyroscope

I have the following assumption: Moment of gyroscope flywheel created by gravity force: Rotation moment of natural precession due to gravity forces: Since the flywheel does not drop: However, when ...
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### Force on rod in gyroscopic precession

Suppose we have a gyroscope connected to a rod, undergoing precession parallel to the ground: I'm trying to figure out how the torque on the rod agrees with the motion. Suppose the rod has a mass $m$ ...
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