If a human centrifuge has a radius of 4.59 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration?

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A: a) Angular speed = (88.2/4.95 )1/2                                 = 4.22 rad/s

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A: (a) angular speed is, ac=rω2ω=acrω=88.2 m/s24.04 mω=4.67 rad/s

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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.