In a Beams ultracentrifuge, the rotor is suspended magnetically in a vacuum. Since there is no mechanical connection to the rotor, the only friction is the air resistance due to the few air molecules in the vacuum. If the rotor is spinning with an angular speed of 5.00 × 105 rad/s and the driving force is turned off, its spinning slows down at an angular rate of magnitude 0.400 rad/s2. The rotor of the Beams ultracentrifuge is a rod 42.8 cm long, turning about a perpendicular axis through its center. For a point at the end of the rotor, find the initial speed in m/s For a point at the end of the rotor, find the magnitude of the tangential acceleration component in m/s^2 For a point at the end of the rotor, find the maximum radial acceleration component In m/s^2
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.
In a Beams ultracentrifuge, the rotor is suspended magnetically in a vacuum. Since there is no mechanical connection to the rotor, the only friction is the air resistance due to the few air molecules in the vacuum. If the rotor is spinning with an angular speed of 5.00 × 105 rad/s and the driving force is turned off, its spinning slows down at an angular rate of magnitude 0.400 rad/s2. The rotor of the Beams ultracentrifuge is a rod 42.8 cm long, turning about a perpendicular axis through its center.
For a point at the end of the rotor, find the initial speed in m/s
For a point at the end of the rotor, find the magnitude of the tangential acceleration component in m/s^2
For a point at the end of the rotor, find the maximum radial acceleration component In m/s^2
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