A circular road with a radius of 50 m has a banking angle of 30^ ^ ^ . Determine the speed at which a vehicle should travel on this road such that friction is not utilized.

Question

Quantrex Academy · Accepted Answer

Correct answer: A. 17 m/s

For a vehicle to travel on a banked road without utilizing friction, the required speed is given by the formula:

v = \sqrt{R g \tan \theta}

Given:

R = 50 \text{ m}

\theta = 30^{}^{{}^{\circ}}

Taking

g = 10 \text{ m/s}^2

Substituting the values into the formula:

v = \sqrt{50 \times 10 \times \tan 30^{}^{{}^{\circ}}}

v = \sqrt{500 \times \dfrac{1}{\sqrt{3}}}

v = \sqrt{\dfrac{500}{1.732}}

v \approx 17 \text{ m/s}

A circular road with a radius of 50 m has a banking angle of 30^ ^...

Options

Correct answer

Step-by-step solution

More from Circular Motion