Question

A railway carriage has its centre of gravity at a height of $1m$ above the rails , which are $1.5m$ apart.The maximum safe speed at which it could travel round an unbanked curve of radius $100m$ is

• A. $12m/s$
• B. $18m/s$
• C. $22m/s$
• D. $27m/s$

Answer 1

The correct option is D $27m/s$

Here, $h=1m,r=100m,and2x=1.5m$
For no skidding
$\frac{m{v}^2}{r}\times h=mgx$
$v=\sqrt{\frac{grx}{h}}$
$=\sqrt{\frac{9.8\times 100\times 0.75}{1}}$
$=v=27.1m/s$