Torque via force and radial distance¶

Torque is a turning action on a body about a rotation axis due to a force.

Notes:

The position vector of a point in space, also known as location or radius vector, is the vector connecting the origin of the coordinate system and the given point.

Links:

Wikipedia.

torque¶

The magnitude of the torque applied at the given point.

Symbol:: tau
Latex:: \(\tau\)
Dimension:: force*length

force¶

The magnitude of the force exerted on the given point.

Symbol:: F
Latex:: \(F\)
Dimension:: force

radial_distance¶

The distance_to_axis from the given point.

Symbol:: r
Latex:: \(r\)
Dimension:: length

angle_between_vectors¶

The angle between the position vector of the given point and the force vector.

Symbol:: phi
Latex:: \(\varphi\)
Dimension:: angle

law¶

tau = r * F * sin(phi)

Latex:: \[\tau = r F \sin{\left(\varphi \right)}\]