Asked by: Nunya

Now lets say your friend is a distance r from the centre which is also equal to the radius of her circular path and you are a distance R.

Distance travelled in one period:

Friend = 2*pi*r

You = 2*pi*R

which is the circumference of your respective circular paths.

Lets say that the time period of one complete circle is T:

Speed:

Friend= 2*pi*r/T

You= 2*pi*R/T

Now by the definition of angular speed

w=2*pi/T where w is the angular speed in radians/s

So this means that the speed is:

Friend= rw

You= Rw

Since you are circling with uniform circular motion w is the same for both of you meaning that the closer you are to the centre the slower your linear speed is.

Answered by: Martin Archer, Physics student, Imperial College London, Uk

'In a way science is a key to the gates of heaven, and the same key opens the gates of hell, and we do not have any instructions as to which is which gate.
Shall we throw away the key and never have a way to enter the gates of heaven? Or shall we struggle with the problem of which is the best way to use the key?'**Richard Phillips Feynman**

(*1918-1988*)

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