An old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.50m in diameter. The elevator is raised and lowered by turning the disk, and the cable turns with the disk and does not slip on its rim. (a) At how many rpm must the disk turn to raise the elevator at 25.0 cm/s? (b) To start the elevator moving, it must be accelerated at 1/8g. What must be the angular acceleration of the disk in rad/s^2? (c) Through what angle (in radians and degrees) has the disk turned when it has raised the elevator 3.25m between floors?
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.
An old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.50m in diameter. The elevator is raised and lowered by turning the disk, and the cable turns with the disk and does not slip on its rim. (a) At how many rpm must the disk turn to raise the elevator at 25.0 cm/s? (b) To start the elevator moving, it must be accelerated at 1/8g. What must be the
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