# 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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### 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 ...
1 vote
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### 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#...
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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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### Antigravity force in powered precession gyroscope [closed]

I have an idea that a powered for rotation gyroscope with fixed precession can serve as antigravity engine. I also wonder of someone tried an experiment to prove that it does not work. The following ...
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### Does motorcycle counter-steering work by precessional motion?

When a motorcycle is going over a particular speed ($\approx 20$ m/h or 30 km/h) you learn in motorcycle class the best way to steer is using the so-called "counter steering"; I can't find ...
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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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### 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 ...
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### Electrical gyroscope

We all love the Gyroscope; basically it has a large angular momentum which stops it from being pushed over. I'm going to assume ideal conditions for a moment- no resistance etc. We can create angular ...
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### Gravity Probe B and the gravitomagnetic acceleration (frame dragging)

How could 1 gyroscope prove both the geodetic effect and the frame dragging? The geodetic effect is orders of magnitude greater than the "shadowed" frame dragging.
1 vote
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### What is the physical meaning of a pure imaginary force?

I am reading an article (this) and the equations result in an inertial force $F_g$ (which I understand as a fictitious force (?)) that is purely imaginary. The system consists of a gyroscope fixed to ...
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### Is it the centripetal force due to precession that prevents a spinning wheel from falling? [duplicate]

An object tied to a rope will lift when swung around (like in a merry-go-round), due to the centripetal force. If a rapidly spinning wheel is hanging from a rope at one side of the axis, it won't fall ...
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### Integrating a continuous low sensitivity sensor with a discrete high sensitivity sensor

In inertial sensors specifically rotation sensors there is a current drive to make atom-based gyros, the reason for this is that there is a potential increase in sensitivity. However, currently, atom ...
1 vote
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### What causes the upward motion in a nutating top?

The locus of the rotational axis of a symmetrical rotating top with a fixed base is shown. This shows a nutation bounded by two circles. What is the intuitive explanation as to why the top axis turns ...
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### Will the spinning gyroscope make the plumb fall slower?

When winding a bike wheel up in an elastic double string in the ceiling, and then let the wheel spin vertically, it unwinds more slowly than if it was not spinning. I tried it. But if a spinning disk ...
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### Why is a Small Coherence Length Desired for Fiber Optic Gyroscopes?

For interferometric measurements based on the Sagnac effect, typically a light source is injected into counter-propagating paths of a fiber optic coil. The rotation of this coil of fiber optic cable ...
1 vote
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### Which is more accurate, a quantum gyroscope or ring laser gyroscope?

I can't find any source which says whether quantum or laser gyroscopes are more accurate. I'm also wondering what the advantages and disadvantages are of each technology. 31 views

### How to calculate the gyroscopic inertia for this exact experiment?

This question refers to the photo below. The wheel in the middle can rotate vertically without friction. The construction around it can rotate the wheel horizontally as well, also without friction. ...
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### Why does this aircraft gyroscope has two degrees of freedom?

This is a Directional Gyro Indicator, it is a tied gyro, the spin axis is tied to the aircraft horizontal axis. I read that this gyroscope has two degrees of freedom. Please explain why is it so? What ...
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### Are these equations correct for the motion of a gyroscope?

I was coding a gyroscope simulation and came up with some equations that I used for it. So firstly, torque = (change in angular momentum)/(change in time) = (vertical moment of inertia)(vertical ...
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### Why does a rotating mass generate a torque on an attached object?

In this video, we see a little toy vehicle with two wheels that is unstable by itself. However, when an attached gyroscope is running (a rotating mass) it stabilizes itself. When the mass starts to ...
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### Gyroscope Angular Momentum Analysis

I'm puzzled by the following questions on gyroscope in HRK physics 5ed (p. 220) Basically the gravity torque is $~τ=Mg\,L\,\sinθ~$. The angular momentum $L_s=I_s\,ω_s~$ has a horizontal radial ...
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### Why does a precessing wheel remain horizontal, instead of flipping?

Suppose I have a wheel with an axle, such that one side of the axle is tied to a rope. I'm initially holding wheel in such a way, that the radius vectors of the wheel are perpendicular to a board. I ...
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### What force am I feeling when I poke a gyroscope to spin off axis of rotation?

So this question is very simple however there is so much material on gyroscopes that I am getting my wires crossed. What I understand, if you poke a gyroscope it will react 90 degrees in the direction ...
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### Changing the RPM of a frictionless spinning wheel in a box

Imagine a spinning wheel built into a hand size vacuum box. There is no friction between the axe bearings of the wheel and the box. Let's say that the wheel rotates with 60 RPM. Am I right if I assume:...
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### 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 ...
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### Intuitive derivation for the precession rate of a spinning wheel

The derivation of the precession rate of a wheel hanging from a rope, as shown below usually involves taking the total torque acting on the system and equating it to the change in angular momentum. ...
1 vote
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### Derivation of precession rate of a wheel gyroscope [closed]

I searched on the web and all I could find is the precession rate of a spinning top. But what I want is the derivation of the precession rate of a wheel hanging from a rope, as shown below: which is ...
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### Gyroscopic Effect at non-90 degree offsets

So I’m well aware of the way that the gyroscopic effect is normally described, that a torque applied to a rotating object will take effect 90 degrees later on the rotation (forgive me if I’m misusing ...
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### Removing gravity from acceleration using quaternions

I have some raw acceleration sensor data in 3 dimensions (X,Y,Z) and I have 4 quaternions corresponding the position of my device in space ( i, j and k factors of the vector part and a scalar). I want ...
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### Using gyroscopes to turn airplanes

Could multiple gyroscopes be used to change direction in a flying vehicle? Im a physics noob and don't really know what else to add... If having one gyroscope allows you to change your direction in 90°...
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### Why no torque along this axis?

Consider a gyrocompass consisting of a balanced spinning disk held in a light frame supported by a horizontal axle. The assembly is on a turntable rotating at steady angular velocity $\Omega$. There ...
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### Purpose of outer housing in a 3 axis gimbal gyro

In this video Inertial Guidance System Professor Lewis shows how inertial inertial guidance system works. The setup consist of a 3 axis gimbal gyro. Let $z$ be an axis pointing up , $x$ be an axis ...
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### Why does the gyroscope oscillate a little when it just starts to precess?

I was reading up on why before starting the precession the gyroscope "goes down a little", (Link at the bottom). In this paper, while looking at the graphs I observed that before reaching ...
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### Strapdown gyroscopes and body frame angular velocities

I am trying to make some sense on strapdown interial navigation systems, which i thought i understood... I thought that a strapdown intertial navigation system produced body frame expressed angular ...
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### Euler's equations and free rotating symmetric top

For a free rotating symmetric top, where there is no torque, in the body fixed frame, am I correct in saying that the angular momentum $L$ is not constant because the angular velocity in the body ...
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### What is the application of the "gyroscope" group of movements on a sphere?

The gyroscope is quoted as a mathematical gyroscope, that is, the intersecting lines of the equator and one meridian. The permissible movements of our mathematical gyroscope are the proper rotations ...
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### How does angular momentum contributes to increase the normal force?

I found the following in an exercise of gyroscopes: In a grain mill, grain is ground by a massive wheel that rolls without slipping in a circle on a flat horizontal surface driven by a vertical shaft....
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### Would a continuous fluid flowing in a parabolic path show any gyroscopic properties (precession, stability)?

In this configuration the fluid is not going around in a circle but there is still an acceleration around a focal point. I have looked for math behind how to calculate this as there are certainly ...
1 vote
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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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### Accelerometer Vs gyroscope - measuring torque [closed]

Torque can be measured with an accelerometer (tangential-acceleration): t = Fr and F=ma, so we get a from the accelerometer, giving: t = mar Torque can also be measured with a gyroscope (angular-...
1 vote
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### Is it possible to obtain an Inertial Measurement Unit (IMU) (accelerometer+gyroscope) placement inside a black box through experiment?

So if I only have physical access to the exterior of a black box containing an Inertial Measurement Unit (IMU) sensor with 6DOF (3-axis gyroscope, 3-axis accelerometer) rigidly fixed to an unknown ...
1 vote
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### Energy required to tilt Earth’s axis by 90 degrees? [closed]

How much energy would be required to tilt Earth’s rotation axis in such a way that what is now poles would be where to equators are relative to Sun and vice versa?
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### Centripetal force in a gyroscope

I realize there is another question on the centripetal force involved in a gyroscope's motion, but I found the answer to not be very complete. With respect to a gyroscope attached to a vertical spring ...
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### Precessional motion of a spinning top

In Feynman's book, when he talks about the motion of a rapidly spinning top, he mentions: "When we apply a Torque to a rapidly spinning top, the direction of the precessional motion is in the ...
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I've been trying to glean some insight into the motion of a body that is rotating about an axis through the COM of said body whilst traveling in a orbital-like path about a perpendicular axis outside ...
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### Is it possible to find the position of spherical ball only using gyroscope raw data?

Assuming the spherical ball undergoes pure rolling and errors from gyroscope can neglected. Can I use angular velocity from gyroscope to find the position by computing rotations times its radius?
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### Calculate total angular momentum of precessing and spinning wheel, then use result to prove gyroscopic precession formula

Consider the following scenario: https://youtu.be/8H98BgRzpOM?t=27. How would I calculate the total angular momentum of this system? The spinning wheel is rather easy, and it's $L_{\rm wheel}=I\omega$....
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### Is the torque on a gyroscope a conventional virtual force perpendicular to rotation?

So I am having some difficulty understanding gyroscopic precession. I understand that mathematically by convention torque is perpendicular to the force and so is angular momentum but surely that force ...
Is there a method to "decompress" the acceleration scalar? For example, I am computing the scalar as: $\sqrt{a_x^2 + a_y^2 + a_z^2}$ where $a_x, a_y$ and $a_z$ are the components of the ...