The angular rotation of the gun as the bullet exits the barrel is then found by integrating again:

Individual hinged expansion joints used in piping systems are restricted to pure angular rotation by its hinges.

The angular rotation is proportional to the current through the coil.

For use as a voltmeter, a series resistor is added so that the angular rotation becomes proportional to the applied voltage.

The angular rotation of Arm 1, , is measured in the horizontal plane where a counter-clockwise direction (when viewed from above) is positive.

The angular rotation of Arm 2, , is measured in the vertical plane where a counter-clockwise direction (when viewed from the front) is positive.

A quantum gyroscope is a very sensitive device to measure angular rotation based on quantum mechanical principles.

It operates on the principle of the Sagnac effect which shifts the nulls of the internal standing wave pattern in response to angular rotation.

This demonstrates that in solid body rotation, there is no shear motion, i.e. , and the vorticity is just the angular rotation, .

Rate gyros measure angular rotation.