At an amusement park there is a ride in which cylindrically shaped chambers spin

Question

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/a, and an 83-kg person feels a 560-N force pressing against his back. What is the radius of the chamber? 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/a, and an 83-kg person feels a 560-N force pressing against his back. What is the radius of the chamber?

Explanation / Answer

F = 560N, v = 3.2m/s, m = 83kg

F = mv^2/ r

Hence r = mv^2/F =- 83 X 3.2 X 3.2 / 560 = 1.52 m

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