Question

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?

Answer 1

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

Stroke = 1.0 m

Amplitude A = 1.0/2 = 0.5 m

The maximum speed (v_max) of the piston is give by the relation: