roller coaster consists of a hollow cylindrical radius r=2.4 m. Riders stand along the inside of the surface, and the cylinder then accelerates to a rotational rate of 33 revolutions per minute. Riders are kept from falling by frictional forces with the wall. Assume mrider=50 kg. a. What rotational speed do the riders reach, in meters per second? b. What acceleration are the riders experiencing? c. What force is providing a centripetal acceleration, and how big must it be?
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 roller coaster consists of a hollow cylindrical radius r=2.4 m. Riders stand along the inside of the surface, and the cylinder then accelerates to a rotational rate of 33 revolutions per minute. Riders are kept from falling by frictional forces with the wall. Assume mrider=50 kg.
a. What rotational speed do the riders reach, in meters per second?
b. What acceleration are the riders experiencing?
c. What force is providing a centripetal acceleration, and how big must it be?
Hollow cylindrical radius R =2.4 m
Angular speed of coster w = 33 rpm
Mass of rider m = 50kg.
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