A carousel is initially at rest. At t=0, it is given a constant angular acceleration α= 0.060 rad/s2 , which increases its angular velocity for 8 sec. Determine the angular velocity of the carousel and the linear velocity of the child located 2.5m from the center.
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 carousel is initially at rest. At t=0, it is given a constant
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