Question

Электровоз движется со скоростью 54 км/ч и развивает среднюю силу тяги 70 кН. Какую силу тока он потребляет, если напряжение в линии 1500 В, а КПД двигателя 92%?

Answer 1

$P=F*V= \frac{70*10^3*54*1000}{3600}= 1050*10^3 W$
$P1= \frac{P}{0.92} = \frac{1050*10^3}{0.92} =1140*10^2 W$
$I= \frac{P1}{U} = \frac{1140*10^3}{0.92} =760A$

Ответ:760 ампер.

Answer 2

Calculation of Current Consumption

To calculate the current consumption of the locomotive, we can use the formula:

Power (P) = Voltage (V) × Current (I)

Given that the voltage in the line is 1500 V and the efficiency (η) of the motor is 92%, we can calculate the power consumed by the locomotive as follows:

Power (P) = (Force (F) × Velocity (V)) / Efficiency (η) To find the force (F), we can use the formula:

Force (F) = Mass (m) × Acceleration (a)

The force can also be calculated using the formula:

Force (F) = Current (I) × Magnetic Field (B) × Length (L) Since we know the force (F) and the velocity (V), we can calculate the acceleration (a) using the formula:

Acceleration (a) = (Force (F) - Force (F)') / Mass (m) where Force (F)' is the force due to friction and other resistive forces.

Now, let's calculate the current consumption of the locomotive.

Calculation Steps:

1. Calculate the force (F) using the formula:

Force (F) = Mass (m) × Acceleration (a)

From the given information, the force (F) is 70 kN and the velocity (V) is 54 km/h.

2. Calculate the acceleration (a) using the formula:

Acceleration (a) = (Force (F) - Force (F)') / Mass (m)

From the given information, the force (F)' is not provided. We'll assume it to be negligible for simplicity.

3. Calculate the power (P) using the formula:

Power (P) = (Force (F) × Velocity (V)) / Efficiency (η)

From the given information, the efficiency (η) is 92%.

4. Calculate the current (I) using the formula:

Current (I) = Power (P) / Voltage (V)

From the given information, the voltage (V) is 1500 V.

Let's calculate the current consumption of the locomotive step by step.

Calculation:

1. Calculate the force (F):

Force (F) = 70 kN

2.