A 400V dc. motor develops a shaft torque of 150Nm at 3000 rev/min. If the efficiency is83%, determine the current supplied to the motor.
Question
A 400V dc. motor develops a shaft torque of 150Nm at 3000 rev/min. If the efficiency is83%, determine the current supplied to the motor.
Solution
Step 1: Convert the speed from revolutions per minute to radians per second.
We know that 1 revolution is equal to 2π radians and 1 minute is equal to 60 seconds. So,
3000 rev/min = 3000 * 2π / 60 = 314.16 rad/sec
Step 2: Calculate the power developed by the motor.
Power (P) = Torque (T) * Angular speed (ω)
P = 150 Nm * 314.16 rad/sec = 47124 Watts
Step 3: Calculate the input power to the motor.
We know that the efficiency (η) of the motor is the ratio of output power to input power. So,
Input power = Output power / Efficiency = 47124 W / 0.83 = 56788.96 Watts
Step 4: Calculate the current supplied to the motor.
We know that Power (P) = Voltage (V) * Current (I). So,
Current (I) = Power (P) / Voltage (V) = 56788.96 W / 400 V = 141.97 Amps
So, the current supplied to the motor is approximately 142 Amps.
Similar Questions
A 500V dc shunt motor takes a total current of 125A and runs at 1400 rev/min. If theshunt field resistance is 75 Ω, the armature resistance is 0.32 Ω and the iron, friction andwindage losses amount to 1.9 kW, determine the overall efficiency of the motor
A motor having an efficiency of 0.8 uses 800 J of electrical energy. The output energy of the motor is:
Calculate the electrical energy supplied to the motor during this time
A motor of input power 160 W raises a mass of 8.0 kg vertically at a constant speed of 0.50 m s.What is the efficiency of the system?A. 0.63%B. 25%C. 50%D. 100%
A 400 V, 3 phase mesh connected synchronous motor runs at rated voltage and with excitationemf of 510 V. Its synchronous impedance per phase is 0.5+j0.4 Ω and friction, windage andiron losses are 900 W. Calculate the shaft power (or net) output, line current, pf and efficiencyfor (a) maximum power output and (b) maximum power input
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.