The Component Force 3D calculator computes the component force along an axis based on the magnitude of the force and the angle between the vector and the axis.
INSTRUCTIONS: Choose units and enter the following:
Component Force in 3D (Fx): The calculator returns the component force in Newtons. However this can be automatically converted to compatible units via the pull-down menu.
To compute the angles from a 3D vector to the axes and the magnitude, CLICK HERE.
The Math / Science
This equation computes the component of a force in the direction of a coordinate specified in Euclidean three-space (3-Space). In a standard local coordinate system specified by orthogonal coordinates x ,y, z this equation expresses the component of a force `vec F` that is exerted in the direction of one of the coordinate axes.
The equations for each component are
This equation can be used to represent any one of the three component forces that are the mapping of a vector force onto the local Euclidean 3-space coordinates