Hi,
Say there's a gyroscope with moments of inertia Ix, Iy and Iz spinning around a vertical z-axis (see attached illustration) with a given angular velocity ωz. Notice that the gyroscope is floating in space as in that there's no gravity acting on the gyroscope.
Now I apply a torque τx...
I have been struggling to visualize how three rotating reaction wheels on bearings and affixed to each other at 90 degree angles, one at each axis (picture the kind of 3-axis reaction devices used in satalites), would behave when torque is applied to the whole assembly. If all three reaction...
hi,
I’m trying to understand why in a rotor bearing system that the critical speeds of the rotor are higher for forward whirl, and lower for backward whirl.
My general understanding is that forward and backward whirl frequencies diverge due to gyroscopic effects, and for forward whirl the...
1. Homework Statement
Consider the Godel Metric in spherical coordinates as on page 6 here;
ds^2=4a^2\left[-dt^2+dr^2+dz^2-(\sinh^{4}(r)-\sinh^{2}(r))d\phi^2+2\sqrt{2}\sinh^{2}(r)dt d\phi)\right]
This is a solution to Einstein's Equations if we have ##a=\frac{1}{2\sqrt{2\pi\rho}}## and...
Say I have a disk spinning in a buoy. Let me say the spin axis is vertical to the flat surface of the buoy (or sea if there were no waves).
Now along comes a wave (that will induce a "precession" of the disk/buoy. The axis of this precession is from "starboard to port."
This would induce...
Hi,
Forgive me for this trivial question. I am confused.
Let's say I have a gyroscopic device in which the rotor is set to spin at a prescribed angular velocity.
Next, put it on an ocean surface in which the ocean waves induce a precession.
These two rotations, then induce a moment (induce a...
I was a bit unsure where to post this, but this one seemed fitting enough.
I was wondering about the state of gyros in airplanes, like which type is being used today.
Are they all optik/fiber-based or are there mechanical gyroscopes at work. (By mechanical i mean the standard spinning wheel, not...
So I've just started reading into how gyroscopes work and I've hit a wall. Previously I thought that the upwards angular momentum kept the spinning object up straight, but why does it do the same if it's spinning clockwise too even though the angular momentum would be pointing down? Does the...
Hello everyone, I have a problem while calculate dynamic for gyroscope system on bicycle. I use Lagrange's equation for modelling precession effect, with generalized coordinate is a angular, the applied generalized force will be a torque. The model of gyroscope system like picture below...
I was watching this and I get it that when you rotate the wheel, the torque due to its weight will cause it to revolve parallel to the ground instead of perpendicular to the ground. I know that the faster you spin the wheel, the less likely the lever from the wheel to the pivot will be slanted...
hello
i am new here. I am facing a problem in fuel gauge that when i drive for a long time on hills it start to show false value. I decided to solve this problem i have a gyro and known resistance from fuel tank of my car and now i want to have true value all the time please help me with it or...
I want to build a Self Balancing autonomous bicycle for which I need to know about CMG System,Can Any one please guide me to the basics of Gyroscope and CMG- Ebooks would be a great starts.
I'm talking here about this situation:
The explanation which is usually given as to why there is a precession, is that the torque is perpendicular to the angular momentum and the angular momentum changes in the direction of the torque.
A few things I don't understand about it:
1. The torque is...
Hi.
I'm trying to take a purely translational approach to precession (i.e. not using angular momentum and torque). I'm looking at a gyroscope that consists of four point masses on a cross and at a moment in time when one mass is at the topmost point (see sketch). I'm assuming a virtual...
I want a device that can either stick on dashboard or like a key fob in driver pocket that will help to detect whether person is in car or not.
Requirements:
- Device must have a detector and siren. When detector detects that person is not in car should buzz siren.
- Can be a device in car or...
Can anybody suggest a free SW to simulate the behavior of a gyroscope upon adding/removing a mass in various places with respect its rotational axis and/or baricenter? It looks like it's quite complex to manually calculate or just "imagine" it.
A gyro standing on a floor does behave in a...
I understand that a gyroscope undergoes precession, nutation, spin.
And that the order of the rotations are such that the precession and spin share a common "local axis."
I also understand there are, for totally different purposes, Euler angles to model rotations.
In this case, the order of the...
Hopefully the image is self-explanatory, if not:
A cylinder is rotating around its central axis with angular momentum L1; an angular impulse, ΔL is then added to the cylinder, perpendicularly with respect to L1.
The hypothetical result is: the cylinder has one angular mometum at the end...
Veritasium made a video on how a flight wheel seemed weightless when spinning:
He then explained in a following video that the reason why it felt weightless is because while he lifted it, he was also swinging the wheel in the x-y plain, which, combined with the wheel's own rotation around the...
Hi all,
Like a lot of folk on here I am interested in the idea of a CMG used to stabalise a single track vehicle.
<< Link to CMG info added by Mentor >>
https://en.wikipedia.org/wiki/Control_moment_gyroscope
I have designed this;
the pink discs spin in opposite directions and the...
Hello everyone!
I am trying to write an app that needs to be able to tell if a vehicle is accelerating or breaking. In this sense I used the accelerometer in the phone. At the moment I managed to isolate and subtract the gravitational pull of the earth from my readings and I am using a noise...
This is the kind of gyroscope that I am talking about:
Where did the kinetic energy of precession come from? The gyroscope's spinning angular inertia? If so, how does it transfer into the precession? Is a torque applied horizontally (along the x-y plane) when the system is under the effect of...
1. 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
2. Homework Equations
ω = Δθ/Δt
ω = ωo + at
3. The Attempt at a Solution
So is the...
Hello,
I'm looking to try to use a gyroscope to determine the rocking motion (just side to side - not back and forth) of a boat while it is travelling forward or sitting still in the water. Specifically, I'm looking for the boat's angle from vertical and this angle's velocity. Can I do this...
I'm working on a project to make a SmartBall that can detect the velocity(km/h) , spin(degrees per second) and flightpath(trajectory) of the ball using Intel Edison with the 9DOF block (LSM9DS0 : 3-axis accelerometer, 3-axis gyroscope, and 3-axis magnetometer) & the battery block, I'm reading...
Could anybody answer a question real quick I have about gyroscopic torque ? I want to use two counter rotating brake rotors in a copy cat lit-motors concept, and was wondering if I had two rotors and each one weighed 10 kilos how many rpm would have to spin to create 400kg of gyroscopic tourque...
I did an experiment in which I varied the starting angle of elevation of a gyroscope. I noticed that at 45 degrees, the precessional period (amount of time to perform one spin) is the lowest, while at 0 degrees and 75 degrees, the precessional period is higher. If I plotted this on a graph, it...
hi
I read an article about stochastic error modeling, and I didn't understand this extract about error sources :
how can the "rate random walk" be present, while the gyroscope directely angular rate ?
the article's title is : "Stochastic Modeling of MEMS Inertial Sensors " by Petko Petkov and...
I'm trying to think about gyroscope precession in terms of energy, and I'm a little confused. If you hold the spinning gyroscope at some tilt so that it doesn't precess, it will have energy associated with it's rotation. When you let it go, it will now have additional energy due to the...
I can find instructions and videos everyone for how to control a remote control car with buttons on a smartphone screen. However, what I'M hoping to do is control an arduino equipped motorized car using the gyroscope and accelerometer contained within the phone. I have found the Wireless IMU...