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.
A 2.00-kg solid, uniform ball of radius 0.100 m is released from rest at point A in
Figure P8.59, its center of gravity a distance of 1.50 m above the ground. The ball rolls
without slipping to the bottom of an incline and back up to point B where it is
launched vertically into the air. The ball rises to its maximum height hmax at point C.
At point B, find the ball’s (a) translational speed and (b) rotational speed ωB. At point
C, find the ball’s (c) rotational speed ωC and (d) maximum height of its center of
gravity
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