Circular Motion: Max Revolutions per Second w/ 9g Accel.

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To determine the maximum revolutions per second a spaceman can endure while experiencing a 9g acceleration in circular motion, the centripetal acceleration formula is essential. Given that the acceleration due to gravity (g) is approximated as 10 m/s², the maximum acceleration the spaceman can withstand is 90 m/s². Using the relationship between centripetal acceleration, radius, and angular velocity, the maximum revolutions per second can be calculated. The discussion emphasizes the need for the correct application of the centripetal acceleration equations. Understanding these principles is crucial for solving the problem effectively.
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Circular Motion

A spaceman is in training is rotated in a seat at the end of a horizontal rotating are of length 5m. If he can withstand accelerations up to 9g, what is the maximum number of revelutions per second permissable? The accleration of free fall (g) may be taken as 10m/s.

i would give what i have tried but i have no idea what equation to use?
any ideas?
 
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Hi ben2010! :wink:

Use the formula for centripetal acceleration …

a = mv2/r = mr2ω :smile:
 

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