Arm Chair
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If a rider sits in a chair at the end of one arm facing the center, how many revolutions per minute would be..?
The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a cylindrical tube 58 ft long with a radius of 29 ft (see figure). If a rider sits in a chair at the end of one arm facing the center, how many revolutions per minute would be required to create a horizontal normal force equal in magnitude to 20.0 times the rider's weight?
29ft = 8.8392m
20*g = 20*9.81m/s² = 196.2 m/s²
196.2m/s² = ω²*r
ω = sqrt(196.2m/s² / 8.8392m) = 4.7113 rad/s
ω/(2*pi) = f = 4.7113 rad/s/(2*pi) = 0,7498 Hz
0.7498Hz * 60sec/min = 44.98 rpm
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