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When the tips of the rotating propeller of an airplane have a linear speed greater than the speed of sound, the propeller makes a lot of noise, which is undesirable. If the length of the propeller is 2.501 m, what is the maximum angular frequency with which the propeller can rotate?

Give your answer in rpm. Assume that the speed of sound is 343.0 m/s and that the propeller rotates about its center

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