Demonstration

Similis

Hi

Can someone help me to demonstrate the 2 followed relations.

The dispositif is an engine who spin around himself

ώ = 2.(pi)/T

ώ is the angular velocity

thx and sorry for my bad english

Mindscrape

Is that supposed to be [tex]\dot \omega[/tex] as in [tex]\frac{d \omega}{dt}[/tex]? I assume not.

I think that you are just trying to show that if
[tex]\omega = 2 \pi f[/tex]
where [tex]\omega[/tex] is the angular frequency and f is the frequency, then an equivalent way of writing it is
[tex]\omega = \frac{2 \pi}{T}[/tex]
using the relationship that [tex]f = 1/T[/tex]