Question

The distance between two rails is $1.5m$. The centre of gravity of the train at a height of $2m$ from the ground. The maximum speed of the train on a circular path of radius $120m$ can be

• A. $10.5\mspace{6mu} m/s$
• B. $42\mspace{6mu} m/s$
• C. $\mathbf{21\mspace{6mu} m/s}$
• D. $84\mspace{6mu} m/s$

Answer 1

Answer: (C)

$\mathbf{21\mspace{6mu} m/s}$

Answer 2

Height of centre of gravity from the ground h = 2m, Acceleration due to gravity g = 10$m/s^{2}$,

Distance between two rails 2a = 1.5m, Radius of circular path r = 120 m (given)

${v\sqrt{\frac{gra}{h}}}_{\max}$ ⇒ ${v\sqrt{\frac{10 \times 120 \times 0.75}{2}}}_{\max}$ $= 21.2m/s$