In order to calculate angular acceleration it is enough to know the equation of rotational motion

All points of a rotating rigid body have the same kinematics characteristics such as , and , therefore:

The kinematics of the rotational motion of a rigid body is reduced
to the kinematics of a rotating material point

Rotation with constant angular acceleration

In pure translation, motion with a constant linear acceleration(for example, that of a falling body) is an important special case. In table 1.2 we displayed a series of equations that hold for such motion. In pure rotation, the case of constant angular accelerationis also important, and a parallel set of equations holds for this case also. We shall not derive them here, but simply write them from the corresponding linear equations, substituting equivalent angular quantities for the linear ones. This is done in table3, which displays both sets of equations. For simplicity, we let x₀ = 0 and = 0 in these equations.

Table 1.3

linear formula	missing variable	angular formula

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