Someone is sitting on a stool that rotates freely, They're holding a 4kg weight in one hand and a 6kg dumbbell in the other. With their arms outstretched they rotate at 2.2rad/sec. Then they pull their arms in close to their body. What is their rotational speed after they do this? When their arms are outstretched the weights are 70cm from the center of thir body. When they pull the weights in they are 17cm from the center of their body. The moment of inertia of their body and the stool is 3.25kg·m^2 (not including the dumbbells)
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.
Someone is sitting on a stool that rotates freely, They're holding a 4kg weight in one hand and a 6kg dumbbell in the other. With their arms outstretched they rotate at 2.2rad/sec. Then they pull their arms in close to their body. What is their rotational speed after they do this? When their arms are outstretched the weights are 70cm from the center of thir body. When they pull the weights in they are 17cm from the center of their body. The moment of inertia of their body and the stool is 3.25kg·m^2 (not including the dumbbells).
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