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Home » A train runs along an unbanked circular track of radius of 30 m at a speed of 54 km/h. The mass of the train is 106 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 train runs along an unbanked circular track of radius of 30 m at a speed of 54 km/h. The mass of the train is 106 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?
CBSE | Class 11 | Laws of Motion | NCERT | Physics
A train runs along an unbanked circular track of radius of 30 m at a speed of 54 km/h. The mass of the train is 106 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?

The track’s radius is 30 metres.

The train’s speed = 54 km/h = 54 x (5/18) = 15 m/s

The train’s mass is 106 kg.

The force of lateral friction created by the rails on the train wheels provides the needed centripetal force.

The needed banking angle to keep the rails from wearing out.

15 × 15)/ (30 x 10) = 0.75 tan= v2/rg

370 = tan -1 (0.75).

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