An 8.79cm diameter floppy disk rotates at its fastest at 470 rpm. Part A: Express the angular velocity of the disk in revolutions per seconds? Part B: What is the time period of this revolution? Use scientific notation for your answer. Part C: What is the linear velocity of a point at the rim of the disk? Part D: What is the angular velocity at the center of the disk? Part E: If the disk took 3.2 sec to spin up to 470 rpm from rest, what was the average angular acceleration? How many revolutions did the disk complete within this time? What is the net displacement? Part F: If you turn off the floppy disk drive and the disk comes to a stop in 6.7 s, what is the average angular acceleration for this period of motion?
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 8.79cm diameter floppy disk rotates at its fastest at 470 rpm.
Part A: Express the
Part B: What is the time period of this revolution? Use scientific notation for your answer.
Part C: What is the linear velocity of a point at the rim of the disk?
Part D: What is the angular velocity at the center of the disk?
Part E: If the disk took 3.2 sec to spin up to 470 rpm from rest, what was the average
Part F: If you turn off the floppy disk drive and the disk comes to a stop in 6.7 s, what is the average angular acceleration for this period of motion?
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