The initial angular velocity and the angular acceleration of four rotating objects at the same instant in time are listed in the table that follows. For each of the objects (a), (b), (c), and (d), determine the final angular speed after an elapsed time of 3 s. Initial angular velocity ω0 Angular acceleration α (a) +13.0 rad/s +3.0 rad/s2 (b) +13.0 rad/s -3.0 rad/s2 (c) -13.0 rad/s +3.0 rad/s2 (d) -13.0 rad/s -3.0 rad/s2
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.
The initial
| Initial angular velocity ω0 | Angular acceleration α | |
| (a) | +13.0 rad/s | +3.0 rad/s2 |
| (b) | +13.0 rad/s | -3.0 rad/s2 |
| (c) | -13.0 rad/s | +3.0 rad/s2 |
| (d) | -13.0 rad/s | -3.0 rad/s2 |
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