Ncert Exercises & Solutions

14.14 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?

Given in the question that :

Angular frequency of the piston, ω = 200 rad / \min .

Stroke = 1.0 \Rightarrow amplitude, A = \frac{1.0}{2} = 0.5 m

The maximum speed (v_{\max}) of the piston :

v_{\max} = Aω

= 200 \times 0.5 = 100 m / \min

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