Question

The roadway bridge over a canal is in the form of a circular arc of radius $18m$. What is the greatest speed with which a motorcycle can cross the bridge without leaving the ground?

• A. $18.98$ $m/s$
• B. $18/9.8m/s$
• C. $\sqrt{9.8}m/s$
• D. $\sqrt{18\times 9.8}m/s$

Answer 1

The correct option is D $\sqrt{18\times 9.8}m/s$

The greatest speed, $v$ is given by:

$\frac{v^2}{r}=g$

or, $v=\sqrt{rg}=\sqrt{18\times 9.8}m/s$