Frame of Reference vs. Coordinate System

AI Thread Summary
A frame of reference is an object used to measure the dynamical properties of another object, while a coordinate system is a tool for visualizing and analyzing vectors. Although all reference frames can be represented by coordinate systems, they serve different purposes; reference frames focus on kinematics, while coordinate systems facilitate algebraic analysis. A rotating frame of reference is indeed non-inertial, but it can still be represented by a coordinate system. The discussion highlights that while they are closely related, a reference frame does not necessarily require a coordinate system for its definition. An example of a coordinate system corresponding to a rotating non-inertial reference frame is requested for further clarification.
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What is the difference between a frame of refernce and a coordinate system. For example, I know that a rotating frame of reference is non-intertial, but is this also a non-intertial coordinate system?

Thanks.
 
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A co-ordinate system is simply a plot which helps to picture the vectors well. Reference frames helps in analysing the vectos and solving the kinematics.
All reference frames can be expressed in the form of a co-ordinate system, but a co-ordinate system is something which has application in many other matters.
Physically speaking, Reference frame is an object with respect to which the dynamical properties of the object under observation is measured. It is based on the concept of inexistence of something absolute. A co-ordinate system is selected for the convenience of understanding the vectors and solve the dynamics between them by simple algebraic analysis. In fact both are very much the same but not the same. A reference of frame need not have co-ordinate system. the system is for the easiness of solving vectors. The co-rdinate system in a reference frame is to map the dynamic situation of ibjects with respect to it.
 
Can you give an example of a coordinare system that corresponds to the rotating non-inertial refence frame?
 

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