Electric motors of tram cars operate at a current of 112 A and a voltage of 550 V.
Electric motors of tram cars operate at a current of 112 A and a voltage of 550 V. Calculate the efficiency of the engine if, with a traction force of 3.6 kN, the speed of the tram is 12 m / s.
I = 112 A.
U = 550 V.
F = 3.6 kN = 3600 N.
V = 12 m / s.
Efficiency -?
Efficiency coefficient Efficiency shows what part of the spent work Az turned into useful Ap: Efficiency = Ap * 100% / Az.
The expended work Az is the work of the electric current in the tram engine: Az = I * U * t.
We will express the useful work Ap by the formula: Ap = F * S, where F is the traction force of the tram, S is the movement of the tram.
Efficiency = F * S * 100% / I * U * t = F * V * 100% / I * U.
We express the speed of the tram V by the formula: V = S / t.
Efficiency = 3600 N * 12 m / s * 100% / 112 A * 550 V = 70%
Answer: the tram has an efficiency of 70%.