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  • 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 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

Q5.31 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 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?

Answers (1)

best_answer

The required centripetal force is provided by the rails, as by Newton's third law of motion, wheels apply force on the rails and thus rails provides a force on the wheels (action-reaction pair).

We know that the angle of banking is given by :

                                                     \tan \Theta \ =\ \frac{v^2}{rg}

or                                                                =\ \frac{15^2}{30\times10}

or                                                                =\ 0.75

Thus                                                    \Theta \ =\ 36.87^{\circ}

Posted by

Devendra Khairwa

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