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)

10 m s–1

Answer 2

Here, $\omega = 200rad\min^{- 1}{}$

Stroke means twice the amplitude

$\therefore$ A = 3 m

Maximum speed $\nu_{\max}$

$= 600m\min^{- 1} = \frac{600}{60}ms^{- 1}$

$= 10ms^{- 1}$