Speed via angular speed and radius

Speed of a rotating body can be calculated using its angular speed and instantaneous radius of curvature of the body’s path.

Links:

1. Physics LibreTexts, first part of formula 6.1.9.

speed

Linear speed.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

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

v = w * r

Latex:

\[v = \omega r\]