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Q13.14: NCERT Physics - Part 2 OSCILLATIONS 13.14 Solution: The piston in the cylinder head of a locomotive has a stroke…

The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?

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**Answer:** Maximum speed = 100 m/min **Step-by-Step Explanation:** Stroke = 1.0 m = 2A, so amplitude A=0.5A = 0.5 m. Angular frequency ω=200\omega = 200 rad/min. Maximum speed:
vmax=Aω=0.5×200=100 m/minv_{max} = A\omega = 0.5 \times 200 = 100 \text{ m/min}
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