A curved road with radius of curvature `200m` is banked with banking angle equal to `tan^(-1)(0.2)` .The optimum speed of a car is

A circular race track of radius 120 m is banked at an angle of 53^o . The optimum speed of car to avoid wear and tear of its tyres is (g = 10 ms^-2)

A circular racetrack of radius 100 m is banked at an angle of 45^(@) . What is the (i) Optimum speed of race car to avoid wear and tear of its tyres? (ii) Maximum permissible speed to avoid slipping if the coefficient of friction is 0.2?

A car of mass 1000kg negotiates a banked curve of radius 90m on a fictionless road. If the banking angle is 45^(@) the speed of the car is:

A car of mass 1000kg negotiates a banked curve of radius 90m on a frictionless road. If the banking angle is 45^(@) the speed of the car is:

For a curved track of radius R, banked at angle theta

A cyclist is moving on a smooth horizontal curved path of radius of curvature 10m.with a speed 10 ms^(-1) . Then his angle of leaning is

Keeping the angle of banking, if the radius of curvature is made four times, the percentage increase in the maximum speed with which a vehicle can travel on a circular road is

A car starts moving from rest on a horizontal circular road of radius of curvature R at . The speed of the car is increasing at a constant rate a. The coefficient of friction between the road and the tyres of the car is The car starts slipping at time t = t_(0) . Then t_(0) is equal to:

A circular road of radius 1000m has hanging angle 45^(@) The maximum safe speed (in ms^(-1) of a car having a mass 2000kg will be (if the coefficient of friction between tying and road is 0.3)

A car is negotiating a curved road of radius R. The road is banked at angle theta . The coefficeint of friction between the tyres of the car and the road is mu_(s) . The maximum safe velocity on this road is