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

ID: 2178761 • Letter: A

Question

An astronaut is being tested in a centrifuge. The centrifuge has a radius of 9 m and, in starting, rotates according to ? = 0.30t^2, where t is in seconds and ? is in radians.
(a) When t = 15.0 s, what is the magnitude of the astronaut's angular velocity?

Answer:9
rad/s

(b) When t = 15.0 s, what is the magnitude of the astronaut's linear speed?

Answer:81
m/s

(c) When t = 15.0 s, what is the magnitude of the astronaut's tangential acceleration?

Answer:?
m/s2

(d) When t = 15.0 s, what is the magnitude of the astronaut's radial acceleration?

Answer:?
m/s2

Explanation / Answer

I'm assuming you mean T = .30*t² ? a = .6 rad/sec² a) ? = a*t b) V = ?*r c) at = a*r d) ar = r*?²

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