In an amusement park ride, passengers stand inside a cylinder, which is 12 m in

Question

In an amusement park ride, passengers stand inside a cylinder, which is 12 m in diameter. Initially, the cylinder rotates with its axis oriented along the vertical. After the cylinder has acquired sufficient speed, it tilts into a vertical plane. Once the axis has tilted to the horizontal, the ring rotates once every 3.2 seconds. The ratio of your apparent weight measured at top to bottom, nB, to the apparent weight at the top nT, is closest to 0.5, 1, 1.5, or 2.5? (assume that your mass is 75 kg)

Explanation / Answer

w=2pi/3.2=1.96 rad/s Ratio=nB/nT=g+w^2r/g-w^2r =2.5

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