angular acceleration
, where a dot denotes differentiation with respect to time.
At a more advanced level, the angular acceleration α of the particle P is the vector defined by α = 
, where ω is the angular velocity. Let i and j be unit vectors in the directions of the positive x- and y-axes and let k = i × j. Then, in the case above of a particle moving along a circular path, ω = 
k and α = 
k. If r, v and a are the position vector, velocity and acceleration of P, then
where er = i cosθ + + j sinθ and eθ=−i sinθ + j cosθ (see circular motion). Using the fact that v = ω × r, it follows that the acceleration a = α × r + ω × (ω × r).
- total force
- totally bounded
- totally disconnected
- total order
- total probability law
- total relation
- totient function
- touch
- tower law
- Tower of Brahma
- Tower of Hanoi
- trace
- tractrix
- trail
- trajectory
- transcendental number
- transfinite number
- transformation
- transformation group
- transformation matrix
- transition map
- transition matrix
- transitive
- transitive relation
- translation