A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with 2 outstretched arms is 5.0 kg·m .
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 figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can
increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev
every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with
2 outstretched arms is 5.0 kg·m .
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