Angular Velocity of a centrifuge

[BJN153]

An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10.5 m and, in starting, rotates according to Θ(theta) = 0.13t^2, where t in seconds gives Θ in radians. When t = 5.0 s, what are the astronaut's angular velocity?
What is the astronauts linear speed?
What is the astronauts tangential acceleration (magnitude only)?
What is the astronauts radial acceleration (magnitude only)?

 

[whozum]

By deriving:

$$\theta(t) = .13t^2$$ <-- Position Function
$$\omega(t) = .26t$$ <-- Velocity Function
$$\alpha(t) = .26$$ <-- Acceleration Function

Find the angular accelerations and speeds, then think of a relationship between the angular accel/speed and linear accel/speed using the given informaiton.