You and your friend leave the merry-go-round and decide to go on the Gravitron (common carnival ride, spinning cylinder that you stand against the wall and as it spins the floor drops away but you stay stuck on the wall). a. The max rotational speed of the ride is 24 rpm. What is this in rad/s? (hint: 1 rotation = 2*pi radians) b. If the ride has a radius of 2 meters (this is how far you would be from the center of the ride) – what is your linear velocity at the max
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.
- You and your friend leave the merry-go-round and decide to go on the Gravitron (common carnival ride, spinning cylinder that you stand against the wall and as it spins the floor drops away but you stay stuck on the wall).
a. The max rotational speed of the ride is 24 rpm. What is this in rad/s?
(hint: 1 rotation = 2*pi radians)
b. If the ride has a radius of 2 meters (this is how far you would be from the center of the ride) – what is your linear velocity at the max speed? (hint: use the rad/s speed you found in Part A)
c. What is your centripetal acceleration at this speed? How does that compare to the acceleration due to gravity?
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