A figure skater rotating at 50.00 rad/s with arms extended has a moment of inertia of 4.5 kg. m^2. If the arms are pulled in so the moment of inertia decreases to 1.80 kg. m^2, what is the final angular speed? 17.6 rad/s 12.25 rad/s 0.125 rad/ s 0.81 rad/s 125 rad /s
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.
Given:
A figure skater rotating at speed =
Moment of inertia with extended arms I = 4.5 kgm2
Moment of inertia with pulled arms I' = 1.80 kgm2
To determine:
Final angular speed
Formula used:
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