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:

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:: \[v = \omega r\]