A boy is spinning on a chair and holding a paper bag so that it is horizontal, and perpendicular to the axis of the rotation. What should be the angular velocity of the boy in radians/second so that the bottom of the bag breaks?
Details and assumptions
Assume paper breaks at an overpressure of 1.2 atm.
The molecular mass of the air is 29 g/mol.
The boy's arm is L=70 cm long.
When horizontal, the bag has a shape of a cylinder of length 30 cm.
Outside pressure is 1 atm and temperature 25 degrees C.
Assume that the boy won't get sick no matter how fast he is spinning. Hint: he whizzes around.
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