A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 13 m, and the friction between the wall and their clothes is μs = 0.64. Consider the tangential speed v of the ride's occupants as the cylinder spins
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 common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 13 m, and the friction between the wall and their clothes is μs = 0.64. Consider the tangential speed v of the ride's occupants as the cylinder spins.
(a) What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall?
(b) What is the frequency f in revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall?
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