Apentix/AP Physics 1/Unit 3: Circular Motion and Gravitation/Question
AP Physics 1mediummcq1 pt

A space station is designed to rotate to simulate gravity. If the radius of the station is 100 m, what angular velocity (in rad/s) is needed to simulate Earth's gravity at the outer rim?

A.0.01 rad/s
B.0.1 rad/s
C.0.3 rad/s
D.1.0 rad/s

Explanation

Core Concept

To simulate gravity, the centripetal acceleration must equal g (9.8 m/s²). Using a = rω², we get ω = √(a/r) = √(9.8/100) = √0.098 ≈ 0.313 rad/s, which rounds to 0.3 rad/s.

Correct Answer

C0.3 rad/s

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