Torque via force and radial distance

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

Notes:

1. 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:

1. 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:

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