A Ferris wheel slows down with a constant angular acceleration of magnitude 5.0 rad/s 2. If the wheel makes 5 revolutions while slowing down before coming to rest, what is the initial angular speed of the wheel? 20 rad/s 15.0 rad/s 13.1 rad/s O 17.7 rad/s
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.
Given :
Angular acceleration (α) = -5 rad/s2
Negative because Ferris wheel is slowing down
Number of revolutions (N) = 5
Final angular speed (wf) = 0 because Ferris wheel finally comes to rest.
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