Centripetal acceleration via angular speed and radius

Centripetal acceleration is defined as the change in velocity tangential to the velocity vector.

Links:

  1. Physics LibreTexts, second part of equation 6.2.5.

centripetal_acceleration

Centripetal, or normal, acceleration.

Symbol:

a_n

Latex:

\(a_{n}\)

Dimension:

acceleration

angular_speed

angular_speed.

Symbol:

w

Latex:

\(\omega\)

Dimension:

angle/time

radius_of_curvature

Instantaneous radius_of_curvature.

Symbol:

r

Latex:

\(r\)

Dimension:

length

law

a_n = w^2 * r

Latex:
\[a_{n} = \omega^{2} r\]