Sunday 1 November 2015

ELECTRIC TRACTION PART – 02 - TRACTIVE EFFORT REQUIRED FOR PROPULSION OF A TRAIN

DIFFERENCE BETWEEN MASS AND WEIGHT MASS

MASS
It is the quantity of matter contained in a body.
Mass is denoted using m or M. Mass is a scalar quantity.

WEIGHT 
It is the force with which earth pulls a body downwards.
Weight usually is denoted by W. Weight is mass multiplied by the acceleration of gravity. 

[W = m x g] Weight is a vector quantity.


DEAD WEIGHT
It is the gross weight of the train, including the locomotive moving the track.

ACCELERATION
It is the rate of change of velocity of an object.

ACCELERATING WEIGHT
It is a weight due to rotational inertia because of angular acceleration, the total effective weight of the train will be more than its dead weight. This is known as accelerating weight.
The accelerating weight is about 10% more than the dead weight.

INERTIA
It is the resistance of any physical object to any change in its state of motion, including changes to its speed and direction. It is the tendency of objects to keep moving in a straight line at constant velocity.

ROTATIONAL INERTIA
It is a scalar, not a vector and is dependent upon the radius of rotation according to the formula
Rotational inertia = mass x radius^2.
Rotational inertia, rotational inertia is the measure of an object's resistance to change in its rotation.

ADHESIVE WEIGHT
It is the weight on the driving wheels of a locomotive, which determines the frictional grip between wheels and rail.
[OR]
The total weight to be carried on the driving wheels is called the adhesive weight.

GRIP
The friction between a body and the surface on which it moves (as between an automobile tire and the road).

FRACTIONAL GRIP
The adhesion between the wheels of a locomotive and the rails of the railroad track.

TOTAL TRACTIVE EFFORT = Ft = Fa + Fg + Fr
Fa = force required for giving linear acceleration to the train
Fg = force required to overcome the effect of gravity
Fr = force required to overcome resistance to train motion
Ft = 277.8 We x a +or- 98.1 W x G + W x r
We - accelerating weight, a - acceleration, W - Dead weight, G - percentage gradient and r - Resistance to train motion

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