2. A wheel of radius 20 cm has a constant angular acceleration of a = 0.5 rad/s² starting from rest. After it turns through an angle of 100 rad, calculate: (a) the angular velocity of the wheel; (b) the time elapsed after the wheels starts turning; (c) the velocity and acceleration a of a ladybug on the edge of the wheel. Express answers in (a) and (c) as vectors using the coordinate system î, î, and k as shown in the figure. axis -+>

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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.