Question
Why are curved roads banked?

Answer

A car while taking a turn performs circular motion. If the road is level (or horizontal road), the necessary centripetal force is the force of static friction between the car tyres and the road surface. The friction depends upon the nature of the surfaces in contact and the presence of oil and water on the road. If the friction is inadequate, a speeding car may skid off the road. Since the friction changes with circumstances, it cannot be relied upon to provide the necessary centripetal force. Moreover, friction results in fast wear and tear of the tyres.

To avoid the risk of skidding as well as to reduce the wear and tear of the car tyres, the road surface at a bend is tilted inward, i.e., the outer side of the road is raised above its inner side. This is called banking of road. On a banked road, the resultant of the normal reaction and the gravitational force can act as the necessary centripetal force. Thus, every car can be safely driven on such a banked curve at certain optimum speed, without depending on friction. Hence, a road should be properly banked at a bend.

The angle of banking is the angle of inclination of the surface of a banked road at a bend with the horizontal.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Obtain an expression for the magnetic induction produced by a current in a wire in the shape of a circular arc at its centre of curvature. Hence obtain an expression for the magnetic induction at the centre of a circular coil carrying a current.
A potential drop per unit length along a wire is $5 \times 10^{-3} V/m$. If the emf of a cell balances against length 216 cm of this potentiometer wire, find the emf of the cell.
Find an expression for the power expended in pulling a conducting loop out of a magnetic field.
A small-blackened solid copper sphere of radius $2.5\ cm$ is placed in an evacuated chamber. The temperature of the chamber is maintained at $100^{\circ} C$. At what rate energy must be supplied to the copper sphere to maintain its temperature at $110^{\circ} C$ ? (Take Stefan's constant $\sigma$ to be $5.670 \times 10^{-8} J s ^{-1} m^{-2} K^{-4}, \pi=3.1416$ and treat the sphere as a blackbody.)
Explain in brief the pressure difference across a curved liquid surface.
Prove that an ideal capacitor in an AC circuit does not dissipate power
Define magnetization. State its SI unit and dimensions. Derive the relation between magnetic field intensity(H) and magnetization(M) for a magnetic material placed in a magnetic field.
We have mentioned about ‘static friction’ between road and tyres. Why is it static friction? What about kinetic friction between road and tyres?
A magnetic needle is suspended freely so that it can rotate freely in the magnetic meridian. In order to keep it in the horizontal position, a weight of $0.1\ g$ is kept on one end of the needle. If the pole strength of this needle is $20$ Am , find the value of the vertical component of the earth’s magnetic field. $(g = 9.8\ m\ s^{-2})$
In a metre bridge experiment, with a resistance $R_1$ in the left gap and a resistance $X$ in the right gap, the null point is obtained at $40 \ cm$ from the left end of the wire. With a resistance $R_2$ in the left gap and the same resistance $X$ in the right gap, the null point is obtained at 50 $cm$ from the left end of the wire. Where will be the null point if $R_1$ and $R_2$ are connected first in series and then in parallel in the left gap, the right gap still containing $X$ ?