Linear displacement is angular displacement cross radius

Assuming a body rotating around a fixed axis, the vector of its linear displacement can be expressed as the cross product of the pseudovector of angular displacement and the radius vector of rotation.

Conditions:

  1. The axis is fixed.

  2. Angular displacement pseudovector and radius vector must be orthogonal to one another.

Links:

  1. Physics LibreTexts, formula 11.1.4.

displacement_law(angular_displacement_, rotation_radius_)[source]

Displacement vector.

Law:

s = cross(theta, r)

Latex:
\[\vec s = \vec \theta \times \vec r\]
Parameters:

  • angular_displacement_ –

    pseudovector of angular displacement parallel to axis of rotation

    Symbol: theta

    Latex: \(\vec \theta\)

    Dimension: angle

  • rotation_radius_ –

    radius vector pointing away from the rotational axis and perpendicular to it

    Symbol: r

    Latex: \(\vec r\)

    Dimension: length

Returns:

vector of linear displacement

Symbol: s

Latex: \(\vec s\)

Dimension: length