In: Physics
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
Angular frequency of the piston, ω = 200 rad/ min
Stroke = 1.0 m
Amplitude, A = 1.0 / 2
= 0.5 m
The maximum speed (vmax) of the piston is given by the relation:
vmax = Aω
= 200 x 0.5
We get,
= 100 m/ min
Therefore, its maximum speed is 100 m/min.
The maximum speed is 100 m/min.