figure skater is spinning with her arms outstretched. She completed 4 full revolutions in 2 seconds. a) her fingertip travels in a circle of radius 80cm. How far does her fingertip travel in the 2 seconds? b) what is the linear velocity of her fingertip in centimeters per second? c) the end of her shoulder is 18cm from her axis of rotation. What would be the difference in her angular velocity and linear velocity, if any, and explain why?
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 is spinning with her arms outstretched. She completed 4 full revolutions in 2 seconds.
a) her fingertip travels in a circle of radius 80cm. How far does her fingertip travel in the 2 seconds?
b) what is the linear velocity of her fingertip in centimeters per second?
c) the end of her shoulder is 18cm from her axis of rotation. What would be the difference in her
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