To determine Rotation period of astronaut. Explanation Write the expression for velocity in terms of angular velocity . v = r ω (I) Here, r radius of the orbit, v is the velocity, and ω is the angular velocity. A centripetal acceleration is needed to keep the astronaut’s body in circular path. Write the expression for centripetal acceleration. a = v 2 r (II) Use equation (I) in (II), and solve for ω . a = r 2 ω 2 r ω = a r (III) Write the expression for angular velocity in terms of period. ω = 2 π T (IV) Here, T is the period of revolution. Equate equation (III) and (IV), and solve for T

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Chapter 3, Problem 80P

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Rotation period of astronaut.

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