What is Angular position: Definition and 19 Discussions
In geometry, the orientation, angular position, attitude, or direction of an object such as a line, plane or rigid body is part of the description of how it is placed in the space it occupies.
More specifically, it refers to the imaginary rotation that is needed to move the object from a reference placement to its current placement. A rotation may not be enough to reach the current placement. It may be necessary to add an imaginary translation, called the object's location (or position, or linear position). The location and orientation together fully describe how the object is placed in space. The above-mentioned imaginary rotation and translation may be thought to occur in any order, as the orientation of an object does not change when it translates, and its location does not change when it rotates.
Euler's rotation theorem shows that in three dimensions any orientation can be reached with a single rotation around a fixed axis. This gives one common way of representing the orientation using an axis–angle representation. Other widely used methods include rotation quaternions, Euler angles, or rotation matrices. More specialist uses include Miller indices in crystallography, strike and dip in geology and grade on maps and signs.
Unit vector may also be used to represent an object's normal vector orientation.
Typically, the orientation is given relative to a frame of reference, usually specified by a Cartesian coordinate system.
Hi!
I would like to know how I could define an equation for α with given the two lengths of the rods and angle theta (θ). I sketched the situation below, the problem arises when the rod Lab has pasts the 180 degrees.
Like to hear.
Hi,
I have this scheme, in which there are 3 segments:
- I is coaxial to c axis and free to rotate in the origin. Length d1
- II is coaxial with a axis and free to rotate around c axis. There a fixed angle θ between a and c axis. Length d2
- III is welded to II, it's the PM segment. α is fixed...
Here is my problem
I have given this a go and get 26.77 degrees as my angular position
My concern is do I double this angle to get the angular width between both 2nd order maxima's (which would be 53.53 degrees) or do I just leave it as 26.77 degrees?
Thanks for any help!
I've been using DC motors with magnetic hall effect encoders on them to measure position control. It's basically a feedback servomotor system.
i've so far been feeding the signal into my microcontroller's interrupts. This has been causing some problems with my timers and program. Let's say the...
Hi!
I don't know if I'm in the right forum of this site but I'm trying anyway. I was just wondering if someone could explain how the step- and impulse response is related to an angular position (of e.g. a spacecraft )? Just a little about the theory since I am trying to actually understand...
Homework Statement
Hi,
I am trying to use the angular velocity and angular position to find the age of the Crab Nebula but my calculations seem to be erroneous. I am supposed to get a number around 800 but I keep getting 5000+ years of age. I'm going to try to be very specific in what I'm...
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 traveling 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...
Homework Statement
Homework Equations
ω=ω0+αt
θ=θ0+ω0t+12αt2 I think?
The Attempt at a Solution
For part a, I know that from the graph, the angular velocity in this case would be constant since the graph illustrates a position in rad vs time graph. The thing is, I'm really sure on how to...
θθHomework Statement
A simple pendulum of mass 20.0 g is suspended by a length of string 1.0 m. It is pulled from equilibrium so that it's raised 10.0 cm and released. Angular position given by θ(t)=θmaxcos(ωt+∅)
What is the period? What is the maximum velocity of the pendulum? What is the...
Dear All,
After long time, I have to start working again on basic physics for my application in one of our automotive project.
Anyway, my problem is, I receive the angular velocity of wheel from external source like (say CAN bus) for every 10ms, now, I need to calculate the Angular position...
Hi all. For a project I am doing, I need to find a motor with an encoder that we can use to detect the exact angular position of the shaft at any given point in time.
I'd like to see if there is any motor out there with absolute feedback from the encoder - i.e., that I would be able to read...
Homework Statement
The angular position of an object that rotates about a fixed axis is given by \theta(t) = \vartheta e^\betat,
where \beta= 2 s^−1, \theta = 1.1 rad, and t is in seconds.
What is the magnitude of the total linear acceleration at t = 0 of a point on the object that is 9.2 cm...
Homework Statement
i am having trouble converting an angular v vs. time to position vs. time graph. i know that the slope of the position is the velocity but the velocity graph has line going up and down.
Homework Equations
The Attempt at a Solution
v v.s t = slope of p vs. t
Homework Statement
During a certain period of time, the angular position of a swinging door is described by θ = 5.00 + 10.0t + 2.00t2, where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t =...
Homework Statement
A dentist's drill starts from rest. After 3.30 s of constant angular acceleration, it turns at a rate of 2.52 multiplied by 104 rev/min.
Find the drill's angular acceleration.
Determine the angle through which the drill rotates during this period
Homework Equations...
Verify that the uncertainty principle can be expressed in the form http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw73.gif,[/URL] where [PLAIN]http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw74.gifis[/URL] the uncertainty in the angular momentum of a...
This is the problem:
During a certain period of time, the angular position of a swinging door is described by θ = 4.92 + 10.7t + 1.91t2, where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door at the following times.
then...
A particle m is moving in a vertical circle of radius R inside a track. There is no friction. When m is at its lowest position, its speed is v0.
Suppose v0 is 0.775 vmin [ vmin = root(5gR) ]. The particle will move up the track to some point at P at which it will lose contact with the track and...
Okay, I just took the final for my first DE class! I really liked it, now I can actually know how to derive some of these equations that they just hand to you in physics and chemistry.
So anyway, there is the solution to the angular position(from vertical)of the simple pendulum; the one...