Question: An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9 m and, in starting, rotates according to ? = 0.30t2, where t is in seconds and ? is in radians.
(a) When t = 9.0 s, what is the magnitude of the astronaut's angular velocity?
(b) When t = 9.0 s, what is the magnitude of the astronaut's linear speed?
(c) When t = 9.0 s, what is the magnitude of the astronaut's tangential acceleration?
(d) When t = 9.0 s, what is the magnitude of the astronaut's radial acceleration?