Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia of 84.4 kg · m2. The father exerts a force on the merry-go-round perpendicular to its radius to achieve an angular acceleration of 4.44 rad/s?. (a) How long (in s) does it take the father to give the merry-go-round an angular velocity of 1.47 rad/s? (Assume the merry-go- round is initially at rest.) (b) How many revolutions must he go through to generate this velocity? revolutions (c) If he exerts a slowing force of 290 N at a radius of 1.25 m, how long (in s) would it take him to stop them? S

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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.