ABSTRACT

The discussion of fixed-axis rotational kinematics in the preceding chapter yielded definitions of angular position, displacement, velocity, and acceleration, viz.,

θ(t) , ∆θ = θ(tf )− θ(ti) , ω(t) = dθ dt

, α(t) = dω

dt =

d2θ

dt2 ,

respectively. Under the assumption that the axis of rotation is fixed, the vector natures of these quantities may remain implicit.