How Do You Calculate Angular Velocity for a Spinning Engine?

AI Thread Summary
Angular velocity (ώ) for a spinning engine can be calculated using the formula ώ = 2π/T, where T is the period of rotation. This relationship connects angular frequency (ω) and frequency (f), as ω can also be expressed as ω = 2πf. The frequency f is defined as the reciprocal of the period, f = 1/T. Therefore, both formulas provide equivalent expressions for angular velocity. Understanding these relationships is crucial for accurately calculating angular velocity in rotational systems.
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
 
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Is that supposed to be \dot \omega as in \frac{d \omega}{dt}? I assume not.

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

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