A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. (A)What is the initial angular momentum, LJ, of John? (B)What is the total initial angular momentum of the system? (C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?
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.
A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center.
(A)What is the initial
(B)What is the total initial angular momentum of the system?
(C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?
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