A train runs an unbanked circular bend of radius 30 m at a speed of 54 km/hr. The mass of the train is $10^{6} k g$ . What provides the necessary centripetal force required for this purpose. The engine or required to prevent wearing out of the rail?

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Solution

The centripetal force required is $F = M v^{2} / r$
It is provided by friction between wheels and rails. So, it is required to prevent wearing out of the rail.
Here, $F = 10^{6} * 15^{2} / 30 = 75 * 10^{5} N$
as 54km/h = 15 m/s

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A train runs an unbanked circular bend of radius 30 m at a speed of 54 km/hr. The mass of the train is 106kg. What provides the necessary centripetal force required for this purpose. The engine or required to prevent wearing out of the rail?

The centripetal force required is F=Mv2/rIt is provided by friction between wheels and rails. So, it is required to prevent wearing out of the rail.Here, F=106∗152/30=75∗105Nas 54km/h = 15 m/s

A train runs an unbanked circular bend of radius 30 m at a speed of 54 km/hr. The mass of the train is $10^{6} k g$ . What provides the necessary centripetal force required for this purpose. The engine or required to prevent wearing out of the rail?

The centripetal force required is $F = M v^{2} / r$
It is provided by friction between wheels and rails. So, it is required to prevent wearing out of the rail.
Here, $F = 10^{6} * 15^{2} / 30 = 75 * 10^{5} N$
as 54km/h = 15 m/s