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rashida564
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I and my teacher argued whether a uniform circular motion in polar coordinates is considered to be a motion in one dimension or it's a motion in two dimensions.
Take two, this way you always have an excuse: You can write ##E+E''=0## as ##E=E(\varphi, d\varphi)## or ##E=E(x,y)##.rashida564 said:I and my teacher argued whether a uniform circular motion in polar coordinates is considered to be a motion in one dimension or it's a motion in two dimensions.
So it can be considered as a motion in one dimensionfresh_42 said:Take two, this way you always have an excuse: You can write ##E+E''=0## as ##E=E(\varphi, d\varphi)## or ##E=E(x,y)##.
Both of us really love debatesDale said:It generally isn’t a good idea to argue with your teacher. (Especially on topics that make no difference)
You can choose time or angle ##\varphi##, given a fixed radius and uniform motion, which is one dimension, or you can choose position ##(x,y)## in which case you shouldn't write ##x=\cos \varphi\; , \;y=\sin \varphi##, which introduced a third variable, a parameterization, and made it rather difficult. As a differential equation, here of second degree, you can always argue, that the differentials belong to the equation, in which case you'll have even more variables: ##E=E(\varphi,d\varphi,d^2\varphi)## or ##E=E(x,y,dx,dy,d^2x,dxdy,d^2y)##.rashida564 said:So it can be considered as a motion in one dimension
Dale said:It generally isn’t a good idea to argue with your teacher. (Especially on topics that make no difference)
So it's all about perspectives, it can be a one dimensional motion with one variable, and it can also be with more than 3 variable in the case of differential equations.fresh_42 said:You can choose time or angle ##\varphi##, given a fixed radius and uniform motion, which is one dimension, or you can choose position ##(x,y)## in which case you shouldn't write ##x=\cos \varphi\; , \;y=\sin \varphi##, which introduced a third variable, a parameterization, and made it rather difficult. As a differential equation, here of second degree, you can always argue, that the differentials belong to the equation, in which case you'll have even more variables: ##E=E(\varphi,d\varphi,d^2\varphi)## or ##E=E(x,y,dx,dy,d^2x,dxdy,d^2y)##.
So all in all, there is nothing to add to
But in the end only one of you will be graded by the other. It is a bad idea. Furthermore, by arguing on a pointless topic you are robbing yourself from learning something that matters.rashida564 said:Both of us really love debates
It's knowledgeDale said:But in the end only one of you will be graded by the other. It is a bad idea. Furthermore, by arguing on a pointless topic you are robbing yourself from learning something that matters.
Classification of this type is completely pointless. Whether you call it 1D or 2D doesn’t change the physics. Go back to learning physics, debate is for debate club not physics class.
I agree with @Dale. It is not knowledge. It is pointless classification. Like knowing whether a glass is half empty or half full. Just drink the thing.rashida564 said:It's knowledge
It really isn’t.rashida564 said:It's knowledge
So it can be consider as a two dimensional motion in polar coordinatesKhashishi said:Both answers are right.
It can be considered motion in a two dimensional space (the plane in which the circle is embedded) or in a one-dimensional sub-space (the circle).rashida564 said:So it can be consider as a two dimensional motion in polar coordinates
What is the space that the motion is taking place in? Is it in a circle? Is it in a plane? Is it both?rashida564 said:can we say it's a one dimensional motion because there's only a change in theta " angular direction"
Dale said:It generally isn’t a good idea to argue with your teacher. (Especially on topics that make no difference)
Khashishi said:Both answers are right.
Thread closed.jbriggs444 said:It can be considered motion in a two dimensional space (the plane in which the circle is embedded) or in a one-dimensional sub-space (the circle).
Circular motion is a type of motion in which an object moves along a circular path. This means that the object maintains a constant distance from a fixed point while continuously changing its direction.
Circular motion involves an object moving along a curved path, while linear motion involves an object moving in a straight line. Additionally, circular motion requires a centripetal force to maintain the circular path, while linear motion does not.
Circular motion in one dimension refers to an object moving in a circular path along a single plane, while circular motion in two dimensions involves an object moving along a circular path in multiple planes, such as a sphere or cone.
Centripetal force is the force that keeps an object moving in a circular path. It acts towards the center of the circle and is required to maintain the object's velocity and prevent it from flying off in a straight line.
Some examples of circular motion in everyday life include the motion of a car around a roundabout, a spinning top, and the rotation of the Earth around the Sun. In addition, many amusement park rides involve circular motion, such as a Ferris wheel or a merry-go-round.