An astronaut is being tested in a centrifuge. The centrifuge has a radius of 14 m and, in starting, rotates according to 0 = 0.30t2, wheret is in seconds and 0 is in radians. (a) When t = 8.0 s, what is the magnitude of the astronaut's angular velocity? rad/s (b) When t = 8.0 s, what is the magnitude of the astronaut's linear speed? m/s (c) When t = 8.0 s, what is the magnitude of the astronaut's tangential acceleration? |m/s² (d) When t = 8.0 s, what is the magnitude of the astronaut's radial acceleration? m/s²

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An astronaut is being tested in a centrifuge. The centrifuge has a radius of 14 m and, in starting, rotates according to 0 = 0.30t2, where t is in seconds and 0 is in radians.
(a) When t = 8.0 s, what is the magnitude of the astronaut's angular velocity?
rad/s
(b) When t = 8.0 s, what is the magnitude of the astronaut's linear speed?
m/s
(c) When t = 8.0 s, what is the magnitude of the astronaut's tangential acceleration?
m/s?
(d) When t = 8.0 s, what is the magnitude of the astronaut's radial acceleration?
m/s2
Transcribed Image Text:An astronaut is being tested in a centrifuge. The centrifuge has a radius of 14 m and, in starting, rotates according to 0 = 0.30t2, where t is in seconds and 0 is in radians. (a) When t = 8.0 s, what is the magnitude of the astronaut's angular velocity? rad/s (b) When t = 8.0 s, what is the magnitude of the astronaut's linear speed? m/s (c) When t = 8.0 s, what is the magnitude of the astronaut's tangential acceleration? m/s? (d) When t = 8.0 s, what is the magnitude of the astronaut's radial acceleration? m/s2
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