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Physics - Angular Speed of Rotation

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In an amusement park rocket ride, cars are suspended from L = 4.17-m cables attached to rotating arms at a distance of
d = 6.15 m from the axis of rotation. The cables swing out at an angle of _ = 46.2_ when the ride is operating. What is
the angular speed of rotation? (File is attached below)

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The angular speed of rotation is determined. A complete, neat and step-by-step solution is provided in the attached file.

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The centripetal acceleration acts along the ...

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