As a marble with a diameter of 1.6 cm rolls down an incline, itscenter moves with a linear acceleration of 3.3 m>s2. (a) What is theangular acceleration of the marble? (b) What is the angular speedof the marble after it rolls for 1.5 s from rest?
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.
As a marble with a diameter of 1.6 cm rolls down an incline, its
center moves with a linear acceleration of 3.3 m>s2
. (a) What is the
angular acceleration of the marble? (b) What is the angular speed
of the marble after it rolls for 1.5 s from rest?
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