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, $A=\frac{1.0}{2}=0.5$ m
The maximum speed (vmax) of the piston is give by the relation:
νmax=Aω
=200×0.5=100m/min