Home
Class 11
PHYSICS
The road at a circular turn of radius 10...

The road at a circular turn of radius 10 m is banked by an angle of `10^0`. With what speed should a vehicle move on the turn so that the normal contact force is able to provide the necessary centripetal force?

Text Solution

Verified by Experts

If v is the correct speed
`tantheta=v^2/(rg)
or, `v=sqrt(rg tan theta)`
`=sqrt((10 m)(9.8m/s^2)(tan10^0))=4.2 m/s`.
Promotional Banner

Similar Questions

Explore conceptually related problems

A circular racetrack of radius 300 m is banked at an angle of 20^(@) . If the coefficient of friction between the wheels of the race car and the road is 0.2, what is the approximate maximum permissible speed of the race car ?

At what angle should the two forces vectors 2F and sqrt(2) F act so that the resultant force is sqrt(10)F

A circular racetrack of radius 300 m is banked at an angle of 15^@ . If the coefficient of friction between the wheels of a race-car and the road is 0.2, what is the (a) optimum speed of the race- car to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping ?

A circular racetrack of radius 300 m is banked at an angle of 15^(@) If the coefficient of friction between the wheels of a race car and the road is 0.2 what is the (a) optimum speed of the race car to avoid wear and tear on its tyres , and (b) maximum permissible speed to aviod slipping ?

A 100 turn closely wound circular coil of radius 10 cm carries a current of 3.2 A. (a) What is the field at the centre of the coil? (b) What is the magnetic moment of this coil? The coil is placed in a vertical plane and is free to rotate about a horizontal axis which coincides with its diameter. A uniform magnetic field of 2T in the horizontal direction exists such that initially the axis of the coil is in the direction of the field. The coil rotates through an angle of 90^@ under the influence of the magnetic field. (c) What are the magnitudes of the torques on the coil in the initial and final position? (d) What is the angular speed acquired by the coil when it has rotated by 90^@ ? The moment of inertia of the coil is 0.1 kg m^2 .

A car is moving along a banked road laid out as a circle of radius r . (a) What should be the banking angle theta so that the car travelling at speed v needs no frictional force from tyres to negotiate the turn ? (b) The coefficient of friction between tyres and road are mu_(s) = 0.9 and mu_(k) = 0.8 . At what maximum speed can a car enter the curve without sliding toward the top edge of the banked turn ?

If vehicle is moving on banked curved road and v lt v_(0) , then what will be direction of frictional force ?

A train runs along an unbanked circular track of radius 30 m at a speed of 54 km/h. The mass of the train is 10^(6) kg. What provides the centripetal force required for this purpose - The engine or the rails ? What is the angle of banking required to prevent wearing out of the rail ?

A cyclist speeding at 18 km// h on a level road takes a sharp circular turn of radius 3 m without reducing the speed . The coefficient of static friction between the tyres and the road is 0.1 Will the cyclist slip while taking the turn ?

A cyclist speeding at 18 km/h on a level road takes a sharp circular turn of radius 3 m without reducing the speed. The co-efficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?