Acceleration is normal plus tangential acceleration

The acceleration of a body moving arbitrarily is composed of two parts:

  1. normal, or centripetal, acceleration, which is always present in a rotating environment and points to the instantaneous axis of rotation,

  2. and tangential acceleration, which is responsible for the change in the magnitude of the velocity vector.

Links:

  1. Wikipedia.

  2. Mathematica LibreTexts.

total_acceleration

Vector of the body’s total acceleration.

Symbol:

a

Latex:

\({\vec a}\)

Dimension:

acceleration

normal_acceleration

Vector of the body’s normal acceleration.

Symbol:

a_n

Latex:

\({\vec a}_\text{n}\)

Dimension:

acceleration

tangential_acceleration

Vector of the body’s tangential acceleration.

Symbol:

a_t

Latex:

\({\vec a}_\text{t}\)

Dimension:

acceleration

law

a = a_n + a_t

Latex:
\[{\vec a} = {\vec a}_\text{n} + {\vec a}_\text{t}\]