A rotating wheel is supported on a turntable as shown. The wheel has an angular velocity of 54.0 rad/s about its axle, while the turntable has angular velocity 45.0 rad/s about a vertical axis. What is the magnitude of the resultant angular velocity of the wheel, as seen by an outside observer, at the instant shown? Use 'rad/s' for your units.

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.