Angular velocity is equal to the change in theta / change in time
theta equals the arc length/ radius
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number of angles moved in 10 seconds divided by 10.
If a be the amplitude of a particle executing SHM with an angular velocity w and yis the displacement, then velocity of the particle at any instant is given by u(t)=w J(a 2 y 2
The Earth's rotation
Acceleration (ack-sell-uh-RAY-shun) is can be absolute, angular, and coriolis. All three are accelerations because they change position/speed over time. Velocity is a measure of distance moved over time. Acceleration is velocity that is changing (speeding up or slowing down, or changing direction) Absolute: The speed continually changes. (A car speeding up) Angular: The direction continually changes. (A planet circling the Sun in orbit) Coriolis: A combination of the above, where a particle changes its distance (absolute) to the center of a whirling mass (Angular).
Angular acceleration is got by the expression alpha = {(final angular velocity)2 - (initial ang velocity)2} / 2 theta. final is 50 and initial is 100 rad/s. Theta is 50 x 2pi radian Therefore required alpha = -50 x 150/200 pi = -75/2pi radian/s2 Negative sign indicates that the rotation is decelrated.