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 3.54 m/s, and an 69.5-kg person feels a 330-N force pressing against his back. What is the radius of a chamber?

Explanation / Answer

Centrifugal force experienced by person is F = mv^2/r....... where r--> radius, m-->mass, v--> LINEAR Velocity..... As the outer wall move at 3.54 m/sec, velocity of man also becomes 3.54 m/sec.... Plugging in values, 330 = 69.5 x (3.54)^2/ r...... r = 0.38 m... = 38 cm...

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