What is the traction force of an electric locomotive at a speed of 36 km / h if its engine with an efficiency

What is the traction force of an electric locomotive at a speed of 36 km / h if its engine with an efficiency of 0.6 operates at a voltage of 1 kV and a current of 500 A.

Efficiency:

η = (Ap. / Az.) * 100%, η = 0.6 = 60%.

Useful work, Ap. = F * V * t, where F is the traction force of the electric locomotive, V is the speed of the electric locomotive (V = 36 km / h = 36 * 1000/3600 = 10 m / s), t is the travel time.

Work expended, Az = U * I * t (work of electric current), where U – voltage (U = 1 kV = 1000 V), I – current strength (I = 500 A).

Let us express and calculate the traction force of an electric locomotive:

η = Ap. / Az. = F * V * t / (U * I * t) = F * V / (U * I).

F = η * U * I / V = 0.6 * 1000 * 500/10 = 30,000 N = 30 kN.