A rotating space station is said to create "artificial gravity"-a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 160 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim? rpm
A rotating space station is said to create "artificial gravity"-a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 160 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim? rpm
College Physics
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
Transcribed Image Text:**Understanding Artificial Gravity in a Rotating Space Station**
A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments.
**Problem Statement**
If the space station is 160 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s² at the rim?
<Enter your answer in the box:> ___ rpm
**Explanation**
This problem involves calculating the angular velocity required for a rotating space station to simulate gravitational acceleration effectively. Given a space station diameter of 160 meters, the task is to determine the rate of rotation in revolutions per minute (rpm) needed for centripetal acceleration to equal Earth's gravity (9.80 m/s²) at the rim.
This concept is significant for space travel and habitation, as it provides insights into maintaining astronaut health in low-gravity environments.
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