Summary These three equations s = rθ v = rω a = rα allow us to relate the linear motion (s, v, a) of a point moving in circular motion on a rotating platform with the rotational motion (θ, ω, α) of the platform itself. It is important when using these equations that the units on s, v, a, and r be consistent. That is, if the radius is measured in meters, then s must also be in meters, v in m/sec, and a in m/sec^{2}.

These three equations s = rθ v = rω a = rα allow us to relate the linear motion (s, v, a) of a point moving in circular motion on a rotating platform with the rotational motion (θ, ω, α) of the platform itself. It is important when using these equations that the units on s, v, a, and r be consistent. That is, if the radius is measured in meters, then s must also be in meters, v in m/sec, and a in m/sec^{2}.