### Q.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?

**Answer:-**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 piston is given by the relation:

*v*_{max} = Aω = 200 × 0.5 = 100m/min.