-
is equal to 2·π·R divided by the time to make one full revolution.
-
But what is 2·π·R/T?
-
Well, let me write it another way.
-
It is 2·π times the frequency of revolution,
-
because 1/T is the frequency.
-
And 2·π·f is the angular frequency and radiance per second.
-
So, here is the connection between linear velocity
-
and angular velocity, if you're rolling without slipping.
-
So, in general, V and ω are independent,
-
but rolling without slipping refers to a particular situation.
-
Now, in that case,
-
let's find the kinetic energy of an automobile tire