A train has to negotiate a curve of radius 400m. By how much should the putter rail be raised with respect to inner rail for speed of 48 km/h? The distance between the rails is 1m.
A)0.20m
B)0.0454m
C)0.45m
D)0.020m

Question

Quizplus · Accepted Answer

The correct answer is found using the formula for the elevation of the outer rail ($h$) in railway tracks, which is given by $h = \frac{v^2}{gR}$, where $v$ is the speed of the train in m/s, $g$ is the acceleration due to gravity (approximately $9.8 m/s^2$), and $R$ is the radius of the curve in meters. First, convert the speed from km/h to m/s: $48 \times \frac{1000}{3600} = 13.33 m/s$. Then, plug the values into the formula: $h = \frac{(13.33)^2}{9.8 \times 400} = 0.0454m$.

A Train Has to Negotiate a Curve of Radius 400m