Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 13 feet from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 7 feet from the center. (a) What is Mary's angular speed ?M compared to that of Alex's angular speed ?A? Give your answer as a multiple of ?A. ?M = ?A (b) What is Mary's tangential speed vM compared to that of Alex's tangential speed vA? Give your answer as a multiple of vA. vM = vA
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.
Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 13 feet from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 7 feet from the center.
?M = ?A
(b) What is Mary's tangential speed vM compared to that of Alex's tangential speed vA? Give your answer as a multiple of vA.
vM = vA
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