bladex.blade.Blade.rotate¶

Blade.rotate(deg_angle=None, rad_angle=None)[source]¶

3D counter clockwise rotation about the X-axis of the Cartesian coordinate system, which is the axis of rotation of the propeller hub.

The rotation matrix, $R(\theta)$ , is used to perform rotation in the 3D Euclidean space about the X-axis, which is – by default – the propeller axis of rotation.

$R(\theta)$ is defined by:

$\left(\begin{matrix} 1 & 0 & 0 \\ 0 & cos (\theta) & - sin (\theta) \\ 0 & sin (\theta) & cos (\theta) \end{matrix}\right)$

Given the coordinates of point $P$ such that

$P = \left(\begin{matrix} x \\ y \\ z \end{matrix}\right),$

Then, the rotated coordinates will be:

$P^{'} = \left(\begin{matrix} x^{'} \\ y^{'} \\ z^{'} \end{matrix}\right) = R (\theta) \cdot P$

Parameters:	deg_angle (float) – angle in degrees. Default value is None rad_angle (float) – angle in radians. Default value is None
Raises:	ValueError – if both rad_angle and deg_angle are inserted, or if neither is inserted