Section 4.7 Circular Motion
Please read circular kinamatics before learning details here. Subsection 3.3.2 Uniform circular motion is the motion of an object moving at a constant speed on a circular path. For an object to be in uniform circular motion, there must be a net force acting on it.
\begin{equation*}
\sum F_{r} = m a_{r} = \frac{mv^{2}}{r}
\end{equation*}
this is a radial-component of force.
\begin{equation*}
\sum F_{t} = m a_{t} = mr\alpha
\end{equation*}
this is a tangential-component of force.
\begin{equation*}
v = r\omega = 2\pi r f; \quad f = \frac{1}{T}
\end{equation*}
If the centripetal force vanishes, the object flies off at a tangent to the circle.
