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.
70
questions with no upvoted or accepted answers
4
votes
0
answers
285
views
Lagrangian of the Euler equations - why are Lin constraints required?
The following equation describes the motion of a rigid body rotation, such as a gyroscope:
$$
\frac{d\textbf{L}}{dt} ={\bf{\tau}}= \textbf{r}\times m\textbf{g}= {\omega}\times \textbf{L}$$
where $...
- 175
3
votes
0
answers
3k
views
Calculations to Determine Force Required for Gyroscopic Stabalization
I am currently undertaking a project involving gyroscopes, the aim of which is to stabilize a large object.
I have read that gyroscopes work because of conservation of angular momentum, and if you ...
- 1,334
3
votes
0
answers
782
views
3 Axis Gyroscope with forced Precession and Limits of Motion
I am working a problem concerning a 3 axis gryoscope, the spinning mass is a magnet (dipole). This is part of a optical sensing device. The inner gimbal is for pitch rotation, and the outer gimbal is ...
- 31
2
votes
0
answers
35
views
Would a gyroscope have solved the longitude problem?
So I was thinking about the longitude problem, which was the problem of determining the longitude at sea. It caused great problems in sea navigation. See: https://en.wikipedia.org/wiki/Longitude#...
- 1,365
2
votes
0
answers
39
views
Effects on Niven Ring Around Kerr Black Hole
Suppose I have a Kerr black hole (rotating, uncharged) and I build a giant ring (a "Niven Ring") around it. I am interested in two related scenarios (I am confused about the second, but am also ...
- 803
2
votes
0
answers
356
views
Dynamics of a Gyroscope motion
If we take a gyroscope with a spinning rotor and rotate the gyroscope frame about a vertical axis or the spin axis (see reference figure), we notice that the gimbal+rotor flips about the gimbal axis.
...
- 171
2
votes
0
answers
146
views
Differential precession due to gravitational waves
To motivate the question, Andy Strominger recently put out a paper on calculating the Sagnac shift of counterrotating beams due to the angular momentum flux of a passing gravitational wave.
See here:...
- 1,056
2
votes
0
answers
921
views
How to find set point for PID controller for self balancing robot?
I am building a Self balancing robot and needs to tune PID controller to generate PWM signals.
My robot chassis is home made and not in perfect alignment. I have placed 6 axis motion sensor on top of ...
- 131
2
votes
0
answers
616
views
Geodetic effect and Frame dragging
Two gyroscopes pointing perpendicular to each other were housed inside Gravity Probe B which performed polar orbit around Earth to test Einstein's theory of relativity.
As the probe is orbiting ...
- 11.6k
2
votes
0
answers
187
views
What is the longest distance over which echolocation is effective?
Some animals, most notably bats, use echolocation in order to navigate and detect the location and size of objects and prey. This usually takes place over short distances.
What are the theoretical ...
- 1,487
2
votes
0
answers
239
views
Bottom magnetic levitation
There are many decorative devices, that keep a small metal sphere levitating in air by attracting it to a top electromagnetic coil while monitoring their height by optical sensors.
There is also the '...
- 445
2
votes
0
answers
219
views
Movement of a gyroscope with non-fixed axis
Assume one has a gyroscope rotating around an axis with both ends leaning on a dedicated semiplane as shown on the picture below. There is no friction either between the rotor and the axis or between ...
- 121
2
votes
0
answers
600
views
propeller flying physics for the layman
I'm starting a (quad?)copter build, and i can find plenty of knowledge about stabilizing the craft and things related to gyroscopy.
but there's absolutely zero information on things that help me ...
- 131
1
vote
1
answer
70
views
Is Energy conserved in a spinning top?
When we spin a top (give it kinetic energy $K_0$) and place it on a table, it starts precessing around the vertical axis.
Is the total energy of the spinning and precessing top equal to the initial ...
- 1,108
1
vote
1
answer
37
views
Sagnac effect and active ring laser gyroscope
I have to help with some lab classes soon and for that I will be tutoring an experiment where the students will use an active ring laser gyroscope and measure the beat frequency that occurs when the ...
1
vote
1
answer
104
views
Proof that torque on a gyroscope equals derivative of its spin angular momentum
Definitions:
$\vec{\tau}$ = torque
$\vec{L}$ = angular momentum
$\vec{R}$ = radius
$\vec{F}$ = force
$M$ = mass
$\vec{A}$ = acceleration
$\vec{V}$ = velocity
I am familiar with the proof that $\vec{\...
1
vote
1
answer
160
views
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)\...
- 11
1
vote
0
answers
19
views
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 ...
- 523
1
vote
0
answers
50
views
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: ...
- 113
1
vote
0
answers
79
views
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 ...
- 57
1
vote
2
answers
458
views
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. ...
- 11
1
vote
1
answer
42
views
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 ...
- 11
1
vote
1
answer
654
views
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 ...
- 31
1
vote
0
answers
93
views
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 ...
- 1,447
1
vote
0
answers
28
views
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?
- 109
1
vote
0
answers
88
views
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 ...
- 6,638
1
vote
1
answer
697
views
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?
- 535
1
vote
0
answers
45
views
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
...
- 245
1
vote
1
answer
427
views
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 ...
- 11
1
vote
0
answers
403
views
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 ...
- 11
1
vote
0
answers
122
views
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. ...
- 195
1
vote
1
answer
250
views
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 ...
- 11
1
vote
0
answers
165
views
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 ...
- 37
1
vote
0
answers
310
views
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 ...
- 11
1
vote
0
answers
25
views
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 ...
- 11
1
vote
0
answers
114
views
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 ...
- 293
1
vote
0
answers
440
views
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 ...
- 111
1
vote
0
answers
1k
views
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 ...
- 11
0
votes
0
answers
13
views
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 ...
- 7,077
0
votes
0
answers
17
views
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 ...
- 11
0
votes
0
answers
52
views
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 ...
- 21
0
votes
0
answers
69
views
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 ...
0
votes
1
answer
93
views
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 ...
- 529
0
votes
0
answers
25
views
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 ...
- 143
0
votes
0
answers
43
views
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 ...
- 213
0
votes
1
answer
60
views
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 ...
- 11
0
votes
0
answers
67
views
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 ...
0
votes
0
answers
413
views
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 $m$ ...
- 235
0
votes
1
answer
98
views
Gyroscopes and Conservation of Angular Momentum follow-up
I'd like to follow up on a question I asked two years ago under the same title (Sept. 22, 2019).
I am trying to understand just exactly how angular momentum around the vertical axis is conserved ...
- 13
0
votes
1
answer
37
views
Gyroscope force
I read that angular momentum is just pointed perpendicular to the plane of rotation (disk) as a convention.
Force is the change in momentum over time.
Is there actually a force in the direction of the ...
