Physics of the Train:
If there was anything that distinguishes the maglev train against any other kinds of trains or any form of land transportation, its that it is astonishingly fast. This is due to the fact that friction was aimed to be eliminated in terms of the wheel and the track touching.
Aside from the quantum physics concerning the superconducting magnets and the levitation it produces, the normal physics are quite simple.
Aside from the quantum physics concerning the superconducting magnets and the levitation it produces, the normal physics are quite simple.
The video above shows the fastest maglev train in the world, it is located in Japan and speeds to an astonishing 603 kph. As explained in the design of the track, the train is propelled by a change in the polarity of the coils present in the guideways. The speed is also increased because of the magnetic force behind the train.
Below is a free body diagram that shows the different forces acting on the train:
Below is a free body diagram that shows the different forces acting on the train:
Based on the image above we can infer the following:
FN - is the normal force acting on the main engine and the rest of the cars behind it.
mg - stands for the weight of each carts. This actually just represents w = mg.
m = mass of the cart g = gravity = 9.81 m/s^2
a - represents the acceleration of the whole train.
f - is the symbol used to represent air resistance.
T - is the tension between the lines that connects the carts.
Usually we would also use the uk, however because of the train is levitating we can just disregard its effect on the total movement of the train.
The equation that combines all of the symbols above is:
X-direction:
∑Fx = [(ma)1 + (ma)2 + (ma)3] - [T1 + T2 + T3] - [f1 + f2 + f3]
Y-direction: (in each cart)
∑Fy = FN - mg
FN - is the normal force acting on the main engine and the rest of the cars behind it.
mg - stands for the weight of each carts. This actually just represents w = mg.
m = mass of the cart g = gravity = 9.81 m/s^2
a - represents the acceleration of the whole train.
f - is the symbol used to represent air resistance.
T - is the tension between the lines that connects the carts.
Usually we would also use the uk, however because of the train is levitating we can just disregard its effect on the total movement of the train.
The equation that combines all of the symbols above is:
X-direction:
∑Fx = [(ma)1 + (ma)2 + (ma)3] - [T1 + T2 + T3] - [f1 + f2 + f3]
Y-direction: (in each cart)
∑Fy = FN - mg
Bonus:
Here is a link that shows the Structural and Kinematic Analysis of EMS Maglev Trains.