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Mathematical Physics - how to find the radius of a chamber.

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At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 3.2 m/s, and an 83 kg person feels a 560 N force pressing against his back. What is the radius of a chamber?

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The solution describes how to find the radius of a chamber.

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