A rotor has identical blades that exert equally spaced force impulses on the turbine…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A rotor has 55 identical blades that exert 55 equally spaced force impulses on the turbine casing every revolution. The natural frequency of the casing is 100 Hz100\,\text{Hz}. Which rotational speed of the rotor is most likely to produce resonance in the casing? (a) 1000 rpm1000\,\text{rpm} (b) 1200 rpm1200\,\text{rpm} (c) 1500 rpm1500\,\text{rpm} (d) 3000 rpm3000\,\text{rpm}

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