Calculate the angle of banking required on a corner of radius 80 m so that vehicles can travel round the corner at 40 m/s without any side thrust on the tyres. A train runs at 20 m/s round a curve of...

Calculate the angle of banking required on a corner of radius 80 m so that vehicles can travel round the corner at 40 m/s without any side thrust on the tyres.

A train runs at 20 m/s round a curve of mean radius 360 m. If the distance between the rails is 1.4 m, how much should the outer rail be raised above the inner rail so there is no side thrust on the rails?