Question

The piston in the cylinder head of a locomotive has a stroke of $6 \,m$. If the piston executing simple harmonic motion with an angular frequency of $200 \,rad\, min^{-1}$ , its maximum speed is

• A. $5\, m\,s^{-1}$
• B. $10\, m\,s^{-1}$
• C. $15\, m\,s^{-1}$
• D. $20\, m\,s^{-1}$

Answer 1

Answer: (B)

Here, $\omega = 200 \,rad\, min^{-1}$
Stroke means twice the amplitude.
$\therefore A = 3\, m$,
Maximum speed,
$v_{max} = A\omega $
$ = 3 \times200 = 600 \,m \,rad \,min ^{-1} $
$= \frac{600}{60} \,m \,s^{-1}$
$ = 10 \,m \,s^{-1}$