A figure skater does a single-axle jump, turning 1.5 revolutions while in the air. The skater is in the air for 0.48 s, and his hands are located 0.69 m from the rotation axis. a) What is the angular velocity (in rad/s) of the skater during the leap? b) What is the linear tangential speed (in m/s) of the skater's hand? c) What is the centripetal acceleration (in m/s^2) of each of the skater's hands during the jump?
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 does a single-axle jump, turning 1.5 revolutions while in the air. The skater is in the air for 0.48 s, and his hands are located 0.69 m from the rotation axis.
a) What is the
b) What is the linear tangential speed (in m/s) of the skater's hand?
c) What is the centripetal acceleration (in m/s^2) of each of the skater's hands during the jump?
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