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The diameters of the main rotor and tail rotor of a single-engine helicopter are 14.4 m and 2.14 m, respectively. The respective rotational speeds are 450 rev/min and 4110 rev/min.

What is the speed of the tip of the large rotor? Give answer as a fraction of the speed of sound, vsound=343 m/s.

What is the speed of the tip of the small rotor? Give answer as a fraction of the speed of sound, vsound=343 m/s.

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