A particular DVD player has an operational angular velocity of 2500 rpm. We model the spinning DVD as a disk (I = 0.5 mr^2) with radius r = 0.1m, m = 40 g. A) What is the centripetal acceleration of a point on the edge of the DVD when it is spinning at operational speed? What is the tangential velocity of this point? B) We turn off the DVD player and notice it takes 3 seconds for the DVD to stop spinning due to kinetic friction. What is the angular acceleration of the DVD? How many rotations does the DVD make before it stops?
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 particular DVD player has an operational
spinning DVD as a disk (I = 0.5 mr^2) with radius r = 0.1m, m = 40 g.
A) What is the centripetal acceleration of a point on the edge of the DVD when it is spinning
at operational speed? What is the tangential velocity of this point?
B) We turn off the DVD player and notice it takes 3 seconds for the DVD to stop spinning
due to kinetic friction. What is the
DVD make before it stops?
C) If we model the total kinetic friction force acting on the DVD as acting on a point r = 0.05
m from the center of the disk, pointing in the direction opposite of the motion at this point, then what
is the coefficient of kinetic friction between the disk and the disk tray?
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