A gyroscope flywheel of radius 2.76 cm is accelerated from rest at 14.0 rad/s2 until its angular speed is 1740 rev/min. (a) What is the tangential acceleration of a point on the rim of the flywheel during this spin-up process? (b) What is the radial acceleration of this point when the flywheel is spinning at full speed? (c) Through what distance does a point on the rim move during the spin-up?
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 gyroscope flywheel of radius 2.76 cm is accelerated from rest at 14.0 rad/s2 until its angular speed is 1740 rev/min.
(a) What is the tangential acceleration of a point on the rim of the flywheel during this spin-up process?
(b) What is the radial acceleration of this point when the flywheel is spinning at full speed?
(c) Through what distance does a point on the rim move during the spin-up?
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