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A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.?
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A 3-phase induction motor is wound for 4 pole and is supplied from a 5...
(a) The synchronous speed of a 3-phase induction motor can be calculated using the following formula:
n_s = (f * 120) / p
where n_s is the synchronous speed of the motor in revolutions per minute (rpm), f is the frequency of the power supply in Hertz (Hz), and p is the number of poles of the motor.
Substituting the values given in the question, we get:
n_s = (50 Hz * 120) / 4 poles
n_s = 1500 rpm
Therefore, the synchronous speed of the 3-phase induction motor is 1500 rpm.
(b) The speed of the motor when running at 4% slip can be calculated using the following formula:
n = n_s * (1 - s)
where n is the speed of the motor in rpm, n_s is the synchronous speed of the motor in rpm, and s is the slip of the motor as a decimal.
Substituting the values given in the question, we get:
n = 1500 rpm * (1 - 0.04)
n = 1440 rpm
Therefore, the speed of the motor when running at 4% slip is 1440 rpm.
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A 3-phase induction motor is wound for 4 pole and is supplied from a 5...
Synchronous Speed:
The synchronous speed of an induction motor is the speed at which the rotating magnetic field produced by the stator winding rotates. It can be calculated using the formula:
Synchronous Speed (Ns) = (120 * Frequency) / Number of Poles
Given that the motor is wound for 4 poles and supplied with a frequency of 50 Hz, we can substitute these values into the formula to calculate the synchronous speed.
Ns = (120 * 50) / 4
Ns = 1500 RPM
Therefore, the synchronous speed of the motor is 1500 RPM.
Speed at 4% Slip:
The slip in an induction motor is the difference between the synchronous speed and the actual speed of the rotor. It is expressed as a percentage. The actual speed of the motor can be calculated using the formula:
Speed = (1 - Slip) * Synchronous Speed
Given that the slip is 4% (0.04) and the synchronous speed is 1500 RPM, we can substitute these values into the formula to calculate the speed at 4% slip.
Speed = (1 - 0.04) * 1500
Speed = 0.96 * 1500
Speed = 1440 RPM
Therefore, the speed of the motor when running at a 4% slip is 1440 RPM.
Explanation:
- The synchronous speed of an induction motor is determined by the frequency of the power supply and the number of poles in the motor winding. The synchronous speed is the speed at which the rotating magnetic field produced by the stator winding rotates.
- In this case, the motor is wound for 4 poles and supplied with a frequency of 50 Hz. By substituting these values into the formula, we can calculate the synchronous speed as 1500 RPM.
- The slip in an induction motor is the difference between the synchronous speed and the actual speed of the rotor. It is expressed as a percentage.
- To calculate the speed at a given slip, we can use the formula: Speed = (1 - Slip) * Synchronous Speed. In this case, the slip is given as 4% (0.04) and the synchronous speed is 1500 RPM. By substituting these values into the formula, we can calculate the speed at 4% slip as 1440 RPM.
- The speed at 4% slip indicates the actual rotational speed of the rotor when the motor is operating under load. The slip represents the difference between the synchronous speed and the speed at which the rotor is able to rotate due to the load on the motor.
- It is important to note that the speed of an induction motor varies with the load. The slip increases as the load on the motor increases, resulting in a decrease in the actual rotational speed of the rotor.
The synchronous speed of an induction motor is the speed at which the rotating magnetic field produced by the stator winding rotates. It can be calculated using the formula:
Synchronous Speed (Ns) = (120 * Frequency) / Number of Poles
Given that the motor is wound for 4 poles and supplied with a frequency of 50 Hz, we can substitute these values into the formula to calculate the synchronous speed.
Ns = (120 * 50) / 4
Ns = 1500 RPM
Therefore, the synchronous speed of the motor is 1500 RPM.
Speed at 4% Slip:
The slip in an induction motor is the difference between the synchronous speed and the actual speed of the rotor. It is expressed as a percentage. The actual speed of the motor can be calculated using the formula:
Speed = (1 - Slip) * Synchronous Speed
Given that the slip is 4% (0.04) and the synchronous speed is 1500 RPM, we can substitute these values into the formula to calculate the speed at 4% slip.
Speed = (1 - 0.04) * 1500
Speed = 0.96 * 1500
Speed = 1440 RPM
Therefore, the speed of the motor when running at a 4% slip is 1440 RPM.
Explanation:
- The synchronous speed of an induction motor is determined by the frequency of the power supply and the number of poles in the motor winding. The synchronous speed is the speed at which the rotating magnetic field produced by the stator winding rotates.
- In this case, the motor is wound for 4 poles and supplied with a frequency of 50 Hz. By substituting these values into the formula, we can calculate the synchronous speed as 1500 RPM.
- The slip in an induction motor is the difference between the synchronous speed and the actual speed of the rotor. It is expressed as a percentage.
- To calculate the speed at a given slip, we can use the formula: Speed = (1 - Slip) * Synchronous Speed. In this case, the slip is given as 4% (0.04) and the synchronous speed is 1500 RPM. By substituting these values into the formula, we can calculate the speed at 4% slip as 1440 RPM.
- The speed at 4% slip indicates the actual rotational speed of the rotor when the motor is operating under load. The slip represents the difference between the synchronous speed and the speed at which the rotor is able to rotate due to the load on the motor.
- It is important to note that the speed of an induction motor varies with the load. The slip increases as the load on the motor increases, resulting in a decrease in the actual rotational speed of the rotor.
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A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.?
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A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.?.
A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-phase induction motor is wound for 4 pole and is supplied from a 50 Hz. calculate: (a)synchronous speed, (b) speed of the motor when running at 4% slip.?.
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