Designing The Fastest Wheels in History
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Calculation:
The equation is a=(w^2)*r where a is the acceleration, w is the angular velocity and r is the radius.
First we must convert RPM to radians per second. There is 2(pi) radians per revolution and 60 seconds in a minute. So 10,000 RPM equals (10000*2(pi))/60, which rounds to 1047. We then simply enter these values into the equation. For our first calculation on space station v we get a=(1047)^2*0.455=498,775 m/s^2
Acceleration due to gravity equals 9.8 m/s^2, so if we divide our answer by that we can see that it is 50,895 times the acceleration due to gravity.
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