Uniform circular motion

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Kinematics

𝑟𝑟 radius

𝑐𝑐 = 2𝜋𝜋𝑟𝑟 circumference

𝑇𝑇 period (lap time)

𝑓𝑓 =1𝑇𝑇

frequency [𝑓𝑓] = 1s

= Hz

𝜔𝜔 = 2𝜋𝜋𝑓𝑓 angular frequency

𝑣𝑣TAN =𝑐𝑐𝑇𝑇

=2𝜋𝜋𝑟𝑟𝑇𝑇

tangential speed

𝑎𝑎IN =𝑣𝑣TAN2

𝑟𝑟

inward (centripetal) acceleration

Dynamics

𝑎𝑎IN =Σ𝐹𝐹IN𝑚𝑚I

net of inward (centripetal) force components