Rotational Freq of Wheel for "Artificial Gravity" of 9.3 m/s^2

AI Thread Summary
A space station designed as a large wheel with a diameter of 124 meters aims to create artificial gravity of 9.3 m/s² at its outer rim. To calculate the required rotational frequency in revolutions per minute (rpm), the velocity is derived using the formula v² = gr, where g is the gravitational acceleration and r is the radius. The angular velocity (w) is then calculated using w = v/r, and frequency is determined by converting angular velocity to rpm with the formula frequency = w/2π. A common mistake noted in the discussion is confusing units, as the initial calculation may have been in revolutions per second instead of the required rpm. Understanding these unit conversions is crucial for accurate results.
rrodriguez119
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1. A space station in the form of a large wheel, 124 m in diamete, rotates to provide and "artificial gravity" of 9.3 m/s^2 for people located on the outer rim.

Find the rotational frequency of the wheel that will produce this effect.
(answer in units of rpm)

2. v^2=gr, w=v/r, w/2pi = frequency


3. To find velocity I used v^2=gr. I know that w=v/r so with my found velocity I divided it by the radius (62). to find the frequency=> w/2pi = frequency. I must be missing a step because the answer I got is wrong. Help would be fancied. thank you!
 
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The number you calculated for frequency is probably expressed in revolutions (cycles) per second (I'm guessing, since you did not show how you arrived at whatever answer you got). The question asks for revolutions per minute (rpm). You must watch units!
 
PhanthomJay said:
The number you calculated for frequency is probably expressed in revolutions (cycles) per second (I'm guessing, since you did not show how you arrived at whatever answer you got). The question asks for revolutions per minute (rpm). You must watch units!

what would you do?
 
nvm, I understand what i have to do. thanks!
 
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