Find Radial, Tangential components of acceleration in 2-D & 3-Dimensional?

Question

I need to find Radial, Tangential components of acceleration in nonuniform circular motion in 2-D & 3-Dimensionals?

Answer 1

Radial (centripetal) acceleration Ac = ωX(ωXr)
Tangential acceleration At = αXr

α = ang. accel, ω = ang. rate, r = radius vector, X is vector cross product
Note ω^2r and |α|r can be used when r is perp. to ω, α