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

'There must be no barriers for freedom of inquiry. There is no place for dogma in science. The scientist is free, and must be free to ask any question, to doubt any assertion, to seek for any evidence, to correct any errors.'**J. Robert Oppenheimer**

(*1904-1966*)

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