Questions tagged [circular-motion]

For questions related to circular motion (movement of an object along the circumference of a circle or rotation along a circular path).

(In physics) Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a $3$D body involves circular motion of its parts. The equations of motion describe the movement of the center of mass of a body. In circular motion, the distance between the body and a fixed point on the surface remains the same.

For the various equations and formulas on the same, check this link.

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How to write a constant turn motion model for multiple objects(>2)?

I am working on multiple object tracking. The next state of a state variable given the current state is characterized by the equation $x(k+1) = Fx(k) + noise$. $F$ is a state motion model matrix. It models the motion of state variable $x$. For a…
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Why does the angle of a banked curve stay at 70-ish degrees past a certain velocity and radius value?

$$\theta = \tan^{-1} \left( \frac{\frac{\nu^2}{rg} - \mu}{1 + \frac{\mu \nu^2}{rg}} \right)$$ I entered the formula above into a python code and ran it to: Starting at 1, increase the velocity and radius by 1 and give out an answer for each…
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What is the distance travelled by an object moving in a circular motion, the origin of which, is also moving in a circular motion?

I'm trying to calculate the distance moved by an object rotating on a spindle, if that spindle is also rotating around a larger spindle (similar to earth moving around the sun). Hopefully you can see the image attached (but info summarized below…