horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.82 m and a rotational inertia of 191 kg·m2 about the axis of rotation. A 73.0 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.05 rad/s when the student starts at the rim, what is the angular speed when she is 1.13 m from the center?
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 horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.82 m and a rotational inertia of 191 kg·m2 about the axis of rotation. A 73.0 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.05 rad/s when the student starts at the rim, what is the angular speed when she is 1.13 m from the center?
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