An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10 m and, in starting, rotates according to θ = 0.30t2, where t is in seconds and θ is in radians.
a) When t = 12.0 s, what is the magnitude of the astronaut's linear speed?
b) When t = 12.0 s, what is the magnitude of the astronaut's radial acceleration?
c) When t = 12.0 s, what is the magnitude of the astronaut's angular velocity?
d) When t = 12.0 s, what is the magnitude of the astronaut's tangential acceleration?