Suppose the force FT in the cord hanging from the pulley is given by the relation FT = 3.00 t-0.20 t2 (Newton's) where t is in seconds. (The pulley with a rotational inertia of 0.500 kg.m² about its axle and a radius of 0.450 m). The pulley is initially at rest. At t = 8.0 s, what are its angular speed and angular acceleration? Ignore friction.
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.
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