An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9 m

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 = 4.0 s, what is the magnitude of the astronaut's angular velocity?

2.4

rad/s

(b) When t = 4.0 s, what is the magnitude of the astronaut's linear speed?

21.6

m/s

(c) When t = 4.0 s, what is the magnitude of the astronaut's tangential acceleration?

2.4

m/s2

(d) When t = 4.0 s, what is the magnitude of the astronaut's radial acceleration?

m/s2

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Explanation / Answer

I'm assuming you mean T = .30*t

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