Is My Calculation for Astronaut's Centripetal Acceleration Correct?

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The discussion focuses on calculating the rotation rate needed for an astronaut to experience a centripetal acceleration of 3g in a circular motion with a radius of 9.45 m. The initial calculation used the formula ac = v^2/r, leading to a velocity of 1.76 m/s. However, this resulted in an implausible rotation rate of 33.73 rev/s, prompting concerns about the accuracy of the velocity calculation. Participants emphasize the importance of verifying unit consistency throughout the calculations. The conversation highlights the need for careful review to ensure correct results in physics problems.
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Homework Statement


Determine the rotation rate, in rev/s, required to give an astronaut a centripetal acc of 3g while in circular motion with radius 9.45 m.



Homework Equations


ac=v^2/r
i did 3g=v^2/9.45 and got 1.76
then i used T=2pie(r)/v, put in T=2pie(9.45)/1.76



The Attempt at a Solution


with doing what i did above i got 33.73. this doesn't seem right. 33 rev/s? that would be fast!
 
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Double check your calculation for the velocity, it can't be right.

Also, make sure you check that your units work out in your calculations. If they don't come out to what you want, you've made a mistake somewhere.
 
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