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The mass of the turbine rotor of a ship is 20 tonnes and has a radius of gyration of 0.60 m. Its speed is 2000 r.p.m. The ship pitches 6° above and 6° below the horizontal position. A complete oscillation takes 30 seconds and the motion is simple harmonic. Determine Maximum angular acceleration of the ship during pitching.

The mass of the turbine rotor of a ship is 20 tonnes and has a radius of gyration of 0.60 m. Its speed is 2000 r.p.m. The ship pitches 6° above and 6° below the horizontal position. A complete oscillation takes 30 seconds and the motion is simple harmonic. Determine Maximum angular acceleration of the ship during pitching. Correct Answer 0.0046 rad/s2

We know that maximum angular acceleration during pitching = φ(ω1)2 = 0.105 (0.21)2 = 0.0046 rad/s2

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1. the acceleration is zero when the bob passes through the mean position.
2. in each cycle the bob attains a given velocity twice.
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