Understanding T = (Seconds/Revolutions) in Uniform Circular Motion

[Miliman13]

A= (2 pie R)/T^2

Why is T= (seconds/Revolutions)

If RPM = Revolutions / Minute (time)

i don't understand why t = s/r

This is from uniformed circular motion.. what the logic or algebra?

Thanks,

 

[Miliman13]

http://media.pearsoncmg.com/aw/aw_0media_physics/vts/YF13-VTS/ex05-19.html

 

[kuruman]

T, the period, is the time in which the mass completes one full revolution. If you know that the mass does 5 revolutions in one minute (60 seconds), how much time is needed for one revolution? Well, five times the time needed for one revolution must be 60 seconds. That's the English. In algebra language it translates as 5T = 60 s. I leave it to you to solve for T.

 

[Miliman13]

T, the period, is the time in which the mass completes one full revolution. If you know that the mass does 5 revolutions in one minute (60 seconds), how much time is needed for one revolution? Well, five times the time needed for one revolution must be 60 seconds. That's the English. In algebra language it translates as 5T = 60 s. I leave it to you to solve for T.

Phrasing it the way you did, really helps me understand the logic.
Thank you very much, i greatly appreciate it .