A half dollar coin is rotating on a turn table like the one you used in lab. At a radial distance from the rotation center of 7 cm, the coin is observed to slide off the turn table. The turn table is measured to be rotating at 8 radians per second when the coin slides. The angular acceleration is constant. The coin is repositioned to a radius of 10 cm. Calculate the angular velocity of the turn table at which the coin will slide off the table at this new radial position. For simplicity, assume the total angular acceleration is equal to the radial acceleration

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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.