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Physics - Mechanics - Rotational Motion

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An astronaut is being tested in a centrifuge. The centrifuge has a radius of 10 m and, in starting, rotates according to theta = (0.30 rad/s?t? where t is in seconds and theta is in radians. When t = 5.0 s, what are the magnitudes of the astronaut's
(a) rotational velocity,
(b) translational velocity,
(c) tangential acceleration,
(d) radial acceleration?

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This solution provides a detailed step by step explanation of the given classical mechanics problem.

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R = 10 m. Theta = 0.30t^2

When t = 5 s, Theta = 0.30(5^2) = 7.5 rad.

(a)Rotational ...

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