AP Physics 1hardmcq1 pt

A space station is designed to simulate gravity through rotation. If the space station has a radius of 100 m and the desired artificial gravity is 9.8 m/s², what should be the rotational period of the space station?

A.B) 2π√(9.8/100) s

B.D) √(9.8/100) s

C.C) √(100/9.8) s

D.A) 2π√(100/9.8) s

Explanation

Core Concept

The centripetal acceleration is given by ac = v²/r = 4π²r/T², where T is the period. Setting ac = 9.8 m/s² and solving for T: T = 2π√(r/ac) = 2π√(100/9.8) s.

Correct Answer

DA) 2π√(100/9.8) s

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