For constant angular rate of rotation the last term is zero.
Rate sensors are devices that directly measure angular rate, without integration in conditioning electronics.
The output signal is proportional to the angular rate due to internal integration that occurs inside of the sensing element.
Ideally the rotation changes direction at a constant angular rate.
Using these data and the previously published angular rate of expansion of the nebula, he was able to estimate its distance.
The angular rate is faster nearer periapsis and slower near apoapsis.
Because of these variations in angular rate, the actual time between lunations may range from about 29.18 to about 29.93 days.
Gyroscopes measure the angular rate of rotational movement about one or more axes.
Each spacecraft is so steady that angular rates are typically 15 times slower than the motion of a clock's hour hand.
The local value of the angular rate of rotation then is given by: