A Ferris wheel with a radius of 7.7 m rotates at a constant rate, completing one

Question

A Ferris wheel with a radius of 7.7 m rotates at a constant rate, completing one revolution every 37 s.

A Ferris wheel with a radius of 7.7 m rotates at a constant rate, completing one revolution every 37 s. Find the direction and magnitude of a passenger's acceleration when at the top of the Ferris wheel. Find the direction and magnitude of a passenger's acceleration when at the bottom of the Ferris wheel.

Explanation / Answer

a). w = 2*pi/37 = 0.17 rad/s v = w*r = 0.17*7.7 = 1.309 m/s at the top, mg - m*v^2/r = m*a => 9.8 - 1.309^2/7.7 = a => a = 9.577 m/s^2 (towards the centre) b). at the bottom, mg + m*v^2/r = m*a => 9.8 + 1.309^2/7.7 = a => a = 10.02253 m/s^2 (towards the centre)

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