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What is the ratio of starting torque(Tst) to full load torque(Tfl) when an induction motor is started using auto transformer and it has a full load slip(Sfl) of 0.02. Its starting current(Ist) is 3 times its full load current(Ifl)?
  • a)
    0.6
  • b)
    0.06
Correct answer is between '0.6,0.06'. Can you explain this answer?
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Ratio of starting torque to full load torque
The ratio of starting torque (Tst) to full load torque (Tfl) can be determined using the slip of the induction motor and the current values given.

Step 1: Find Full Load Slip
Given that the full load slip (Sfl) is 0.02, which means the motor operates at 2% slip at full load. The slip is defined as the difference between synchronous speed and rotor speed divided by synchronous speed.

Step 2: Find Full Load Speed
Since the full load slip is given, we can calculate the full load speed (Nfl) using the formula:
Nfl = (1 - Sfl) * Ns
Where Ns is the synchronous speed of the motor.

Step 3: Find Full Load Torque
The full load torque (Tfl) can be calculated using the formula:
Tfl = (P * 1000) / (2 * π * Nfl / 60)
Where P is the power in kilowatts.

Step 4: Find Full Load Current
Given that the starting current (Ist) is 3 times the full load current (Ifl), we can calculate the full load current using the formula:
Ifl = Ist / 3

Step 5: Find Starting Torque
The starting torque (Tst) can be calculated using the formula:
Tst = Tfl * (Ist / Ifl)^2

Step 6: Calculate the Ratio
Finally, we can calculate the ratio of starting torque to full load torque as:
Ratio = Tst / Tfl

Answer
The ratio of starting torque to full load torque is between 0.6 and 0.06.
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What is the ratio of starting torque(Tst) to full load torque(Tfl) when an induction motor is started using auto transformer and it has a full load slip(Sfl) of 0.02. Its starting current(Ist) is 3 times its full load current(Ifl)?a)0.6b)0.06Correct answer is between '0.6,0.06'. Can you explain this answer?
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What is the ratio of starting torque(Tst) to full load torque(Tfl) when an induction motor is started using auto transformer and it has a full load slip(Sfl) of 0.02. Its starting current(Ist) is 3 times its full load current(Ifl)?a)0.6b)0.06Correct answer is between '0.6,0.06'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about What is the ratio of starting torque(Tst) to full load torque(Tfl) when an induction motor is started using auto transformer and it has a full load slip(Sfl) of 0.02. Its starting current(Ist) is 3 times its full load current(Ifl)?a)0.6b)0.06Correct answer is between '0.6,0.06'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the ratio of starting torque(Tst) to full load torque(Tfl) when an induction motor is started using auto transformer and it has a full load slip(Sfl) of 0.02. Its starting current(Ist) is 3 times its full load current(Ifl)?a)0.6b)0.06Correct answer is between '0.6,0.06'. Can you explain this answer?.
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