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

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

Tardigrade Admin · Accepted Answer

Here, ω = 200 rad min-1 Stroke means twice the amplitude. ∴ A = 3 m, Maximum speed, vmax = Aω = 3 ×200 = 600 m rad min -1 = (600/60) m s-1 = 10 m s-1

Q. 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 $200 r a d mi n^{- 1}$ , its maximum speed is

$5 m s^{- 1}$

$10 m s^{- 1}$

$15 m s^{- 1}$

$20 m s^{- 1}$

Here, $ω = 200 r a d mi n^{- 1}$
Stroke means twice the amplitude.
$∴ A = 3 m$ ,
Maximum speed,
$v_{ma x} = A ω$
$= 3 \times 200 = 600 m r a d mi n^{- 1}$
$= \frac{600}{60} m s^{- 1}$
$= 10 m s^{- 1}$

Q. The piston in the cylinder head of a locomotive has a stroke of 6m. If the piston executing simple harmonic motion with an angular frequency of 200radmin−1 , its maximum speed is

5ms−1

10ms−1

15ms−1

20ms−1