An astronaut is being tested in a centrifuge. The centrifuge has a radius of 12.0 m and, in starting, rotates according to θ = 0.130t2, where t is in seconds and θ is in radians. When t = 2.60 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration?
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.
An astronaut is being tested in a centrifuge. The centrifuge has a radius of 12.0 m and, in starting, rotates according to θ = 0.130t2, where t is in seconds and θ is in radians. When t = 2.60 s, what are the magnitudes of the astronaut's (a)
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