Question

Exercise
What is uniform circular motion?
State the formula for the magnitude ​

Answer 1

Uniform circular motion means that the magnitude of the velocity will always be constant. But the direction of the velocity will change at a constant rate from every point. It means that the path of the object will form a circle.

Assuming you are referring to the magnitude of a vector, the magnitude of it is equal to the norm of the vector. This allows you to find the magnitude of a vector in any dimension. For a 2d vector the formula is |z|=x2+y2−−−−−−√ , where x and y are the x and y components of the vector respectively. This can be generalized to 3 dimensions through |z|=x2+y2+z2−−−−−−−−−−√ and so on.

Note: I just used absolute value for the norm, |z| , however it is formally written with 2 bars.

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Answer 2

Answer:

Uniform circular motion means that the magnitude of the velocity will always be constant. But the direction of the velocity will change at a constant rate from every point. It means that the path of the object will form a circle.