A 4.50-kg centrifuge takes 200 s to spin up from rest to its final angular speed with constant angular acceleration. A point Placated 10.0 cm from the axis of rotation of the centrifuge moves with a speed of 150 m/s when the centrifuge is at full(final) speed. a) What was its final angular speed? b)What is the angular acceleration (in rad/s2) of the centrifuge as it spins up? c)How many revolutions does the centrifuge make as it goes from rest to its final angular speed? d)When the centrifuge is rotating at its final angular speed, what are the radial and tangential accelerations of the point P? Give the radial and tangential acceleration separately.
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 4.50-kg centrifuge takes 200 s to spin up from rest to its final angular speed with constant
a) What was its final angular speed?
b)What is the angular acceleration (in rad/s2) of the centrifuge as it spins up?
c)How many revolutions does the centrifuge make as it goes from rest to its final angular speed?
d)When the centrifuge is rotating at its final angular speed, what are the radial and tangential accelerations of the point P? Give the radial and tangential acceleration separately.
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