Find the angle of banking of a curved railway track of radius 600 m, if the maximum safely speed limit of `54 km h^(-1)`. If the distance between the rails is 1.6 m, find the elevation of the outer track above the inner track. Given that `g=9.8 ms^(-2)`.

The radius of curvature of a railway track at a place where the train is moving at a speed of 72 km h^-1 is 625 m.The distance between the rails is 1.5 m.Find the angle and the elevation of the outer rail so that there may be no side pressure on the rails. (g=9.8 m s^(-2)) .

The radius of curvature of a railway line at a place is 40000m.the train is running at 20 m s^-1 .the distance between the two rails is 1.5 m.Find the elevation of the outer rail over the inner one so that the train may be able to run safely.

A cyclist going at a speed of 24 km h^-1 ,takes a turn of 6.70 m radius .Find the inclination of his cycle to vertical.

A particle is moving along a circular track of radius 1m with uniform speed. What is the ratio of the distance covered and the displacement in half revolution?

Figure depicts a racking track whose left and right ends are semicircular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find the area of the track.

A cyclist goes round a circular path of radius 20.0 m with a speed of 14 m s^-1 .Find the angle through which his cycle makes with vertical. (g=9.8 ms ^-2) .

The shape of top sufrace of a table is a trapezium.Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.

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 — Hie engine or the rails ? What is the angle of banking required to prevent wearing out of the rail ?

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km h^-1 and train B moves south with a speed of 90 km h^-1 . What is the relative velocity of B with respect to A

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km h^-1 and train B moves south with a speed of 90 km h^-1 .relative velocity of ground with respect to B?