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 train runs along an unbanked circular track of radius 30 m at a spee

1.	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 ?
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :The centripetal force is provided by the lateral thrust by the <a href="https://interviewquestions.tuteehub.com/tag/rail-1176462" style="font-weight:bold;" target="_blank" title="Click to know more about RAIL">RAIL</a> on the flanges of the wheels.By the <a href="https://interviewquestions.tuteehub.com/tag/third-1414358" style="font-weight:bold;" target="_blank" title="Click to know more about THIRD">THIRD</a> Law, the train exerts an equal and opposite thrust on the rail causing its wear and tear.<br/>Angle of banking ` = tan^(-1)( (v^2)/(R <a href="https://interviewquestions.tuteehub.com/tag/g-1003017" style="font-weight:bold;" target="_blank" title="Click to know more about G">G</a>)) = tan^(-1) ( (15 xx 15)/(30 xx <a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>)) = 37^@`</body></html>