ANSWER - 10.25 A synchronous motor develops 30 percent of its rated power for a certain load
19 thg 10, 2023 | 01:00

ANSWER - 10.25 A synchronous motor develops 30 percent of its rated power for a certain load



10.25 A synchronous motor develops 30 percent of its rated power for a certain load. The load on the motor is suddenly increased by 150 percent of the original value. Neglecting all losses, calculate the maximum power angle on the swing curve.

Ans. 40°

10.25 A synchronous motor develops 30 percent of its rated power for a certain load. The load on the motor is suddenly increased by 150 percent of the original value. Neglecting all losses, calculate the maximum power angle on the swing curve.

Ans. 40°



Instant Answer



Step 1/11

1. The synchronous motor develops 30 percent of its rated power for a certain load. This means that the power factor (cosine of the power angle) is 0.3.


Step 2/11

2. The load on the motor is suddenly increased by 150 percent of the original value. This means that the new load is 2.5 times the original load.


Step 3/11

3. Neglecting all losses, the power factor remains the same. Therefore, the power factor is still 0.3 for the new load.


Step 4/11

4. The maximum power angle on the swing curve occurs when the power factor is at its minimum value. In this case, the power factor is 0.3.


Step 5/11

5. The power factor is related to the power angle by the equation: power factor = cos(power angle).


Step 6/11

6. Therefore, cos(power angle) = 0.3.


Step 7/11

7. To find the power angle, we take the inverse cosine (cos^-1) of 0.3.


Step 8/11

8. Using a calculator, we find that the power angle is approximately 71.57 degrees.


Step 9/11

9. However, the question asks for the maximum power angle on the swing curve. The swing curve represents the range of power angles from 0 to 180 degrees.


Step 10/11

10. Since the power angle cannot exceed 90 degrees (due to the cosine function), the maximum power angle on the swing curve is 90 degrees.


Answer

11. Therefore, the answer is incorrect. The correct maximum power angle on the swing curve is 90 degrees, not 40 degrees.











VIDEO SOLVED - 10.25 A synchronous motor develops 30 percent of its rated power for a certain load





10.25 A synchronous motor develops 30 percent of its rated power for a certain load. The load on the motor is suddenly increased by 150 percent of the original value. Neglecting all losses, calculate the maximum power angle on the swing curve.

Ans. 40°

10.25 A synchronous motor develops 30 percent of its rated power for a certain load. The load on the motor is suddenly increased by 150 percent of the original value. Neglecting all losses, calculate the maximum power angle on the swing curve.

Ans. 40°



Instant Answer



Step 1/11

1. The synchronous motor develops 30 percent of its rated power for a certain load. This means that the power factor (cosine of the power angle) is 0.3.


Step 2/11

2. The load on the motor is suddenly increased by 150 percent of the original value. This means that the new load is 2.5 times the original load.


Step 3/11

3. Neglecting all losses, the power factor remains the same. Therefore, the power factor is still 0.3 for the new load.


Step 4/11

4. The maximum power angle on the swing curve occurs when the power factor is at its minimum value. In this case, the power factor is 0.3.


Step 5/11

5. The power factor is related to the power angle by the equation: power factor = cos(power angle).


Step 6/11

6. Therefore, cos(power angle) = 0.3.


Step 7/11

7. To find the power angle, we take the inverse cosine (cos^-1) of 0.3.


Step 8/11

8. Using a calculator, we find that the power angle is approximately 71.57 degrees.


Step 9/11

9. However, the question asks for the maximum power angle on the swing curve. The swing curve represents the range of power angles from 0 to 180 degrees.


Step 10/11

10. Since the power angle cannot exceed 90 degrees (due to the cosine function), the maximum power angle on the swing curve is 90 degrees.


Answer

11. Therefore, the answer is incorrect. The correct maximum power angle on the swing curve is 90 degrees, not 40 degrees.











VIDEO SOLVED - 10.25 A synchronous motor develops 30 percent of its rated power for a certain load



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