Rotation around a fixed axis or axial rotation is a special case of rotational motion around an axis of rotation fixed, stationary, or static in three-dimensional space. This type of motion excludes the possibility of the instantaneous axis of rotation changing its orientation and cannot describe such phenomena as wobbling or precession .

We used a graphical analysis to find solutions to fixed-axis rotation with constant angular acceleration. From the relation \(\omega = \frac{d \theta}{dt}\), we found that the area under an angular velocity-vs.-time curve gives the angular displacement, \(\theta_{f} - \theta_{0} = \Delta \theta = \int_{t_{0}}^{t} \omega (t)dt\).

Fixed-axis rotation describes the rotation around a fixed axis of a rigid body; that is, an object that does not deform as it moves. We will show how to apply all the ideas we’ve developed up to this point about translational motion to an object rotating around a fixed axis.

rigid body about a fixed axis of rotation. A rigid body is defined as an object that has fixed size and shape. In other words, the relative positions of its constituent particles remain constant. Although a perfectly rigid body does not exist, it is a useful idealization. By “fixed axis” we mean that the axis must be fixed relative

Fixed-axis rotation describes the rotation around a fixed axis of a rigid body; that is, an object that does not deform as it moves. We will show how to apply all the ideas we’ve developed up to this point about translational motion to an object rotating around a fixed axis.

Rotational motion around a fixed axis refers to the motion of an object as it rotates about an axis that remains fixed in space. This type of motion is commonly observed in objects like spinning tops, wheels, and planets orbiting the Sun.

For an object rotating counterclockwise about a fixed axis, this vector has magnitude ω and points outward along the axis of rotation. For our purposes, though, we will treat ω as a number which can be positive or negative, depending on the direction of rotation.